Log in

Relevant bibliographies by topics / Quantum mechanics; Classical limit / Journal articles

To see the other types of publications on this topic, follow the link: Quantum mechanics; Classical limit.

Journal articles on the topic 'Quantum mechanics; Classical limit'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Quantum mechanics; Classical limit.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Castagnino, Mario. "The classical–statistical limit of quantum mechanics." Physica A: Statistical Mechanics and its Applications 335, no. 3-4 (April 2004): 511–17. http://dx.doi.org/10.1016/j.physa.2003.12.041.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Allori, Valia, and Nino Zanghì. "On the Classical Limit of Quantum Mechanics." Foundations of Physics 39, no. 1 (December 2, 2008): 20–32. http://dx.doi.org/10.1007/s10701-008-9259-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Kocis, L. "Semi-classical limit of relativistic quantum mechanics." Pramana 65, no. 1 (July 2005): 147–52. http://dx.doi.org/10.1007/bf02704384.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Rahmani, Faramarz, Mehdi Golshani, and Ghadir Jafari. "Gravitational reduction of the wave function based on Bohmian quantum potential." International Journal of Modern Physics A 33, no. 22 (August 10, 2018): 1850129. http://dx.doi.org/10.1142/s0217751x18501294.

Full text

Abstract:

In objective gravitational reduction of the wave function of a quantum system, the classical limit of the system is obtained in terms of the objective properties of the system. On the other hand, in Bohmian quantum mechanics the usual criterion for getting classical limit is the vanishing of the quantum potential or the quantum force of the system, which suffers from the lack of an objective description. In this regard, we investigated the usual criterion of getting the classical limit of a free particle in Bohmian quantum mechanics. Then we argued how it is possible to have an objective gravitational classical limit related to the Bohmian mechanical concepts like quantum potential or quantum force. Also we derived a differential equation related to the wave function reduction. An interesting connection will be made between Bohmian mechanics and gravitational concepts.

APA, Harvard, Vancouver, ISO, and other styles

5

REZENDE, JORGE. "STATIONARY PHASE, QUANTUM MECHANICS AND SEMI-CLASSICAL LIMIT." Reviews in Mathematical Physics 08, no. 08 (November 1996): 1161–85. http://dx.doi.org/10.1142/s0129055x96000421.

Full text

Abstract:

A method of stationary phase for the normalized-oscillatory integral on Hilbert space is developed in the case where the phase function has a finite number of critical points which are non-degenerate. Applications to the Feynman path integral and the semi-classical limit of quantum mechanics are given.

APA, Harvard, Vancouver, ISO, and other styles

6

Batalin, Igor A., and Peter M. Lavrov. "Quantum localization of classical mechanics." Modern Physics Letters A 31, no. 22 (July 14, 2016): 1650128. http://dx.doi.org/10.1142/s0217732316501285.

Full text

Abstract:

Quantum localization of classical mechanics within the BRST-BFV and BV (or field–antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit leads to Hamiltonian localization in the path integral of the BRST-BFV formalism. In turn, we find that a special choice of gauge fixing functions being proportional to extremals of an initial non-degenerate classical action together with a very special solution of the classical master equation result in Lagrangian localization in the partition function of the BV formalism.

APA, Harvard, Vancouver, ISO, and other styles

7

Bolivar, A. O. "The Bohm quantum potential and the classical limit of quantum mechanics." Canadian Journal of Physics 81, no. 7 (July 1, 2003): 971–76. http://dx.doi.org/10.1139/p03-063.

Full text

Abstract:

Using a procedure based on the limit [Formula: see text], we show that the classical limiting method based on the Bohm quantum potential (Q [Formula: see text] 0) is not necessary to characterize the classical limit of quantum mechanics. PACS No.: 03.65.Ta

APA, Harvard, Vancouver, ISO, and other styles

8

HUANG, Y. C., F. C. MA, and N. ZHANG. "GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER." Modern Physics Letters B 18, no. 26n27 (November 20, 2004): 1367–77. http://dx.doi.org/10.1142/s0217984904007955.

Full text

Abstract:

Classical statistical average values are generally generalized to average values of quantum mechanics. It is discovered that quantum mechanics is a direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, and the general classical statistical uncertain relation is generally generalized to the quantum uncertainty principle; the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among the uncertainty principle, singularity and condensed matter stability, discover that the quantum uncertainty principle prevents the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of the quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics and we discover that merely stating that the classical limit of quantum mechanics is classical mechanics is a mistake. As application examples, we deduce both the Schrödinger equation and the state superposition principle, and deduce that there exists a decoherent factor from a general mathematical representation of the state superposition principle; the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.

APA, Harvard, Vancouver, ISO, and other styles

9

Polonyi, Janos. "Macroscopic Limit of Quantum Systems." Universe 7, no. 9 (August 26, 2021): 315. http://dx.doi.org/10.3390/universe7090315.

Full text

Abstract:

Classical physics is approached from quantum mechanics in the macroscopic limit. The technical device to achieve this goal is the quantum version of the central limit theorem, derived for an observable at a given time and for the time-dependent expectation value of the coordinate. The emergence of the classical trajectory can be followed for the average of an observable over a large set of independent microscopical systems, and the deterministic classical laws can be recovered in all practical purposes, owing to the largeness of Avogadro’s number. This result refers to the observed system without considering the measuring apparatus. The emergence of a classical trajectory is followed qualitatively in Wilson’s cloud chamber.

APA, Harvard, Vancouver, ISO, and other styles

10

Bhatt, Bhavya, Manish Ram Chander, Raj Patil, Ruchira Mishra, Shlok Nahar, and Tejinder P. Singh. "Path Integrals, Spontaneous Localisation, and the Classical Limit." Zeitschrift für Naturforschung A 75, no. 2 (February 25, 2020): 131–41. http://dx.doi.org/10.1515/zna-2019-0251.

Full text

Abstract:

AbstractThe measurement problem and the absence of macroscopic superposition are two foundational problems of quantum mechanics today. One possible solution is to consider the Ghirardi–Rimini–Weber (GRW) model of spontaneous localisation. Here, we describe how spontaneous localisation modifies the path integral formulation of density matrix evolution in quantum mechanics. We provide two new pedagogical derivations of the GRW propagator. We then show how the von Neumann equation and the Liouville equation for the density matrix arise in the quantum and classical limit, respectively, from the GRW path integral.

APA, Harvard, Vancouver, ISO, and other styles

11

MARMO, G., G. SCOLARICI, A. SIMONI, and F. VENTRIGLIA. "THE QUANTUM-CLASSICAL TRANSITION: THE FATE OF THE COMPLEX STRUCTURE." International Journal of Geometric Methods in Modern Physics 02, no. 01 (February 2005): 127–45. http://dx.doi.org/10.1142/s0219887805000508.

Full text

Abstract:

According to Dirac, fundamental laws of Classical Mechanics should be recovered by means of an "appropriate limit" of Quantum Mechanics. In the same spirit it is reasonable to enquire about the fundamental geometric structures of Classical Mechanics which will survive the appropriate limit of Quantum Mechanics. This is the case for the symplectic structure. On the contrary, such geometric structures as the metric tensor and the complex structure, which are necessary for the formulation of the Quantum theory, may not survive the Classical limit, being not relevant in the Classical theory. Here we discuss the Classical limit of those geometric structures mainly in the Ehrenfest and Heisenberg pictures, i.e. at the level of observables rather than at the level of states. A brief discussion of the fate of the complex structure in the Quantum-Classical transition in the Schrödinger picture is also mentioned.

APA, Harvard, Vancouver, ISO, and other styles

12

Habib, Salman. "Classical limit in quantum cosmology: Quantum mechanics and the Wigner function." Physical Review D 42, no. 8 (October 15, 1990): 2566–76. http://dx.doi.org/10.1103/physrevd.42.2566.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Sznajderhaus, Nahuel. "Decoherence and Intertheory Relations in Quantum Realism." Metatheoria – Revista de Filosofía e Historia de la Ciencia 9, no. 2 (April 1, 2019): 95–110. http://dx.doi.org/10.48160/18532330me9.235.

Full text

Abstract:

The complex relation between quantum mechanics and classical mechanics is crucial in the philosophy of modern physics, and it cuts across current quantum physics. This paper is divided in two parts. In the first part I will offer a critical analysis of the role that decoherence plays in the account of the quantum-classical limit. In the second part I will mention three ways in which philosophers are engaging with the realist interpretation of quantum mechanics in light of the assessment that the problem of the quantum-classical limit is still open to debate. My main claim is that the problem of the quantum-classical limit is overrated and it receives too much attention for the realist who looks at quantum mechanics. The question that the realist wants to focus on is the crucial interpretation question: what is a quantum system?

APA, Harvard, Vancouver, ISO, and other styles

14

Oliveira, Adélcio C. "Classical limit of quantum mechanics induced by continuous measurements." Physica A: Statistical Mechanics and its Applications 393 (January 2014): 655–68. http://dx.doi.org/10.1016/j.physa.2013.09.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

McRae, S. M., and E. R. Vrscay. "Perturbation theory and the classical limit of quantum mechanics." Journal of Mathematical Physics 38, no. 6 (June 1997): 2899–921. http://dx.doi.org/10.1063/1.532025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Man'ko, Olga, and V. I. Man'ko. "Classical Mechanics Is not the ħ, 0 Limit of Quantum Mechanics." Journal of Russian Laser Research 25, no. 5 (September 2004): 477–92. http://dx.doi.org/10.1023/b:jorr.0000043735.34372.8f.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

LANDSMAN, N. P. "CLASSICAL BEHAVIOR IN QUANTUM MECHANICS: A TRANSITION PROBABILITY APPROACH." International Journal of Modern Physics B 10, no. 13n14 (June 30, 1996): 1545–54. http://dx.doi.org/10.1142/s0217979296000647.

Full text

Abstract:

A formalism is developed for describing approximate classical behavior in finite (but possibly large) quantum systems. This is done in terms of a structure common to classical and quantum mechanics, viz. a Poisson space with a transition probability. Both the limit where ħ→0 in a fixed finite system and the limit where the size of the system goes to infinity are incorporated. In either case, classical behavior is seen only for certain observables and in a restricted class of states.

APA, Harvard, Vancouver, ISO, and other styles

18

SALESI, GIOVANNI. "NONRELATIVISTIC CLASSICAL MECHANICS FOR SPINNING PARTICLES." International Journal of Modern Physics A 20, no. 10 (April 20, 2005): 2027–36. http://dx.doi.org/10.1142/s0217751x05021142.

Full text

Abstract:

We study the classical dynamics of nonrelativistic particles endowed with spin. Nonvanishing Zitterbewegung terms appear in the equation of motion also in the small momentum limit. We derive a generalized work-energy theorem which suggests classical interpretations for tunnel effect and quantum potential.

APA, Harvard, Vancouver, ISO, and other styles

19

LANDSMAN, N. P. "DEFORMATIONS OF ALGEBRAS OF OBSERVABLES AND THE CLASSICAL LIMIT OF QUANTUM MECHANICS." Reviews in Mathematical Physics 05, no. 04 (December 1993): 775–806. http://dx.doi.org/10.1142/s0129055x93000243.

Full text

Abstract:

The quantum algebra of observables of a particle moving on a homogeneous configuration space Q = G/H, the transformation group C*-algebra C* (G, G/H), is deformed into its classical counterpart C0 ((T*G)/H). The Poisson structure of the latter is obtained as the classical limit of the quantum commutator. The superselection sectors of both algebras describe the particle moving in an external Yang–Mills field. Analytical aspects of deformation theory, such as the nature of the limit ħ → 0, are studied in detail. A physically motivated convergence criterion in ħ is introduced. The Weyl–Moyal quantization formalism, and the associated use of Wigner distribution functions, is generalized from flat phase spaces T*ℝn to Poisson manifolds of the form (T*G)/H. The classical limit of quantum states as well as of superselection sectors is investigated. The former is handled by introducing the notion of a classical germ, generalizing coherent states. The latter is analyzed by studying the Jacobson topology on the primitive ideal space of a certain continuous field of C*-algebras, constructed from the classical and the quantum algebras of observables. The symplectic leaves of (T*G)/H are confirmed to be the correct classical analogue of the quantum superselection sectors of C*(G, G/H).

APA, Harvard, Vancouver, ISO, and other styles

20

GHIRARDI, GIANCARLO, and RAFFAELE ROMANO. "CLASSICAL, QUANTUM AND SUPERQUANTUM CORRELATIONS." International Journal of Modern Physics B 27, no. 01n03 (November 26, 2012): 1345011. http://dx.doi.org/10.1142/s0217979213450112.

Full text

Abstract:

A deeper understanding of the origin of quantum correlations is expected to allow a better comprehension of the physical principles underlying quantum mechanics. In this work, we reconsider the possibility of devising "crypto-nonlocal theories", using a terminology firstly introduced by Leggett. We generalize and simplify the investigations on this subject which can be found in the literature. At their deeper level, such theories allow nonlocal correlations which can overcome the quantum limit.

APA, Harvard, Vancouver, ISO, and other styles

21

Castagnino, Mario, and Olimpia Lombardi. "Self‐Induced Decoherence and the Classical Limit of Quantum Mechanics." Philosophy of Science 72, no. 5 (December 2005): 764–76. http://dx.doi.org/10.1086/508945.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Rowe, E. G. Peter. "Classical limit of quantum mechanics (electron in a magnetic field)." American Journal of Physics 59, no. 12 (December 1991): 1111–17. http://dx.doi.org/10.1119/1.16622.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Omn�s, Roland. "Logical reformulation of quantum mechanics. III. Classical limit and irreversibility." Journal of Statistical Physics 53, no. 3-4 (November 1988): 957–75. http://dx.doi.org/10.1007/bf01014232.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Sen, D., A. N. Basu, and S. Sengupta. "Classical limit of scattering in quantum mechanics—A general approach." Pramana 48, no. 3 (March 1997): 799–809. http://dx.doi.org/10.1007/bf02845613.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Sen, D., and S. Sengupta. "A Critique of the Classical Limit Problem of Quantum Mechanics." Foundations of Physics Letters 19, no. 5 (August 28, 2006): 403–21. http://dx.doi.org/10.1007/s10702-006-0901-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

AMELINO-CAMELIA, GIOVANNI. "DIMENSIONFUL DEFORMATIONS OF POINCARÉ SYMMETRIES FOR A QUANTUM GRAVITY WITHOUT IDEAL OBSERVERS." Modern Physics Letters A 13, no. 16 (May 30, 1998): 1319–25. http://dx.doi.org/10.1142/s0217732398001376.

Full text

Abstract:

Quantum mechanics is revisited as the appropriate theoretical framework for the description of the outcome of experiments that rely on the use of classical devices. In particular, it is emphasized that the limitations on the measurability of (pairs of conjugate) observables encoded in the formalism of quantum mechanics reproduce faithfully the "classical-device limit" of the corresponding limitations encountered in (real or gedanken) experimental setups. It is then argued that devices cannot behave classically in quantum gravity, and that this might raise serious problems for the search of a class of experiments described by theories obtained by "applying quantum mechanics to gravity." It is also observed that using heuristic/intuitive arguments based on the absence of classical devices one is led to consider some candidate quantum gravity phenomena involving dimensionful deformations of the Poincaré symmetries.

APA, Harvard, Vancouver, ISO, and other styles

27

YOUSSEF, SAUL. "A REFORMULATION OF QUANTUM MECHANICS." Modern Physics Letters A 06, no. 03 (January 30, 1991): 225–35. http://dx.doi.org/10.1142/s0217732391000191.

Full text

Abstract:

We show that the phenomena explained by quantum mechanics can alternatively be explained as a breakdown of probability theory without the need for wave-particle duality or the idea that a particle does not have a unique path in space. The single-particle Lagrangian consistent with the reformulated quantum mechanics is derived and specialized to the Schrödinger and Klein-Gordon theories. The usual paradoxes of quantum mechanics are explained. A connection to gravity is proposed. Probability theory is restored in the classical limit.

APA, Harvard, Vancouver, ISO, and other styles

28

Gisin, Nicolas. "Real numbers are the hidden variables of classical mechanics." Quantum Studies: Mathematics and Foundations 7, no. 2 (October 31, 2019): 197–201. http://dx.doi.org/10.1007/s40509-019-00211-8.

Full text

Abstract:

Abstract Do scientific theories limit human knowledge? In other words, are there physical variables hidden by essence forever? We argue for negative answers and illustrate our point on chaotic classical dynamical systems. We emphasize parallels with quantum theory and conclude that the common real numbers are, de facto, the hidden variables of classical physics. Consequently, real numbers should not be considered as “physically real” and classical mechanics, like quantum physics, is indeterministic.

APA, Harvard, Vancouver, ISO, and other styles

29

Gottfried, Kurt. "Inferring the statistical interpretation of quantum mechanics from the classical limit." Nature 405, no. 6786 (June 2000): 533–36. http://dx.doi.org/10.1038/35014500.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Fawcett, R. J. B., and A. J. Bracken. "The classical limit of quantum mechanics as a Lie algebra contraction." Journal of Physics A: Mathematical and General 24, no. 12 (June 21, 1991): 2743–61. http://dx.doi.org/10.1088/0305-4470/24/12/014.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Rowe, E. G. P. "The classical limit of quantum mechanical Coulomb scattering." Journal of Physics A: Mathematical and General 20, no. 6 (April 21, 1987): 1419–31. http://dx.doi.org/10.1088/0305-4470/20/6/025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

FLOYD, EDWARD R. "CLASSICAL LIMIT OF THE TRAJECTORY REPRESENTATION OF QUANTUM MECHANICS, LOSS OF INFORMATION AND RESIDUAL INDETERMINACY." International Journal of Modern Physics A 15, no. 09 (April 10, 2000): 1363–78. http://dx.doi.org/10.1142/s0217751x00000604.

Full text

Abstract:

The trajectory representation in the classical limit (ℏ→0) manifests a residual indeterminacy. We show that the trajectory representation in the classical limit goes to neither classical mechanics (Planck's correspondence principle) nor statistical mechanics. This residual indeterminacy is contrasted to Heisenberg uncertainty. We discuss the relationship between residual indeterminacy and 't Hooft's information loss and equivalence classes.

APA, Harvard, Vancouver, ISO, and other styles

33

CHANG, DARWIN, and PALASH B. PAL. "NUMBER THEORY AND QUANTUM MECHANICS." Modern Physics Letters A 09, no. 20 (June 28, 1994): 1845–51. http://dx.doi.org/10.1142/s0217732394001702.

Full text

Abstract:

We demonstrate a simple contradiction of naive deterministic theories with quantum mechanics by showing that the spin components cannot have deterministic values for many values of the total spin of a particle. Using a theorem in number theory, we work out the complete set of spin values which display such properties. The fact that the set is infinite should prompt some modifications in the usual statement about achieving the classical limit when the value of angular momentum becomes very large.

APA, Harvard, Vancouver, ISO, and other styles

34

JIANG, TAO, ZI-GANG YUAN, QING WANG, ZHENG-WEN LONG, and JIAN JING. "CHERN–SIMONS MECHANICS IN NONCOMMUTATIVE PHASE SPACE." International Journal of Modern Physics A 27, no. 18 (July 17, 2012): 1250092. http://dx.doi.org/10.1142/s0217751x12500923.

Full text

Abstract:

Chern–Simons mechanics in noncommutative phase space is studied from both classical and quantum aspects in this paper. We find that there are two parameters in the full theory which lead to two different reduced theories when they take certain values. We analyze these two reduced models also from two aspects and find that the classical aspect of the full theory has a continuous limit when both of these parameters take their certain values. However, the quantum aspect of the full theory does not have the similar limit. The spectra of the full theory will be infinite when these parameters take these values. We propose artificial regularization schemes to get rid of these infinity and resort to Dirac's theories to verify our scheme.

APA, Harvard, Vancouver, ISO, and other styles

35

Home, Dipankar, and A. S. Majumdar. "Incompatibility between quantum mechanics and classical realism in the ‘‘strong’’ macroscopic limit." Physical Review A 52, no. 6 (December 1, 1995): 4959–62. http://dx.doi.org/10.1103/physreva.52.4959.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Wang, Lipo. "On the classical limit of phase‐space formulation of quantum mechanics: Entropy." Journal of Mathematical Physics 27, no. 2 (February 1986): 483–87. http://dx.doi.org/10.1063/1.527247.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Skála, Lubomír, and Vojtěch Kapsa. "Quantum Mechanics Needs No Interpretation." Collection of Czechoslovak Chemical Communications 70, no. 5 (2005): 621–37. http://dx.doi.org/10.1135/cccc20050621.

Full text

Abstract:

Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that the basic mathematical structure of quantum mechanics like the probability amplitudes, Born rule, probability density current, commutation and uncertainty relations, momentum operator, rules for including scalar and vector potentials and antiparticles can be derived from the definition of the mean values of powers of space coordinates and time. Equations of motion of quantum mechanics, the Klein-Gordon equation, Schrödinger equation and Dirac equation are obtained from the requirement of the relativistic invariance of the theory. The limit case of localized probability densities leads to the Hamilton-Jacobi equation of classical mechanics. Many-particle systems are also discussed.

APA, Harvard, Vancouver, ISO, and other styles

38

Navascués, Miguel, and Harald Wunderlich. "A glance beyond the quantum model." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2115 (November 11, 2009): 881–90. http://dx.doi.org/10.1098/rspa.2009.0453.

Full text

Abstract:

One of the most important problems in physics is to reconcile quantum mechanics with general relativity, and some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favour of a more general theory. Here, we propose a mechanism to make general claims on the microscopic structure of the Universe by postulating that any post-quantum theory should recover classical physics in the macroscopic limit. We use this mechanism to bound the strength of correlations between distant observers in any physical theory. Although several quantum limits are recovered, such as the set of two-point quantum correlators, our results suggest that there exist plausible microscopic theories of Nature that predict correlations impossible to reproduce in any quantum mechanical system.

APA, Harvard, Vancouver, ISO, and other styles

39

Isidro, José M. "Duality, Quantum Mechanics and (Almost) Complex Manifolds." Modern Physics Letters A 18, no. 28 (September 14, 2003): 1975–90. http://dx.doi.org/10.1142/s0217732303011873.

Full text

Abstract:

The classical mechanics of a finite number of degrees of freedom requires a symplectic structure on phase space [Formula: see text], but it is independent of any complex structure. On the contrary, the quantum theory is intimately linked with the choice of a complex structure on [Formula: see text]. When the latter is a complex-analytic manifold admitting just one complex structure, there is a unique quantization whose classical limit is [Formula: see text]. Then the notion of coherence is the same for all observers. However, when [Formula: see text] admits two or more nonbiholomorphic complex structures, there is one different quantization per different complex structure on [Formula: see text]. The lack of analyticity in transforming between nonbiholomorphic complex structures can be interpreted as the loss of quantum-mechanical coherence under the corresponding transformation. Observers using one complex structure perceive as coherent the states that other observers, using a different complex structure, do not perceive as such. This is the notion of a quantum-mechanical duality transformation: the relativity of the notion of a quantum.

APA, Harvard, Vancouver, ISO, and other styles

40

KHRENNIKOV, ANDREI. "FOURIER ANALYSIS OVER HYPERBOLIC ALGEBRA, PSEUDO-DIFFERENTIAL OPERATORS, AND HYPERBOLIC DEFORMATION OF CLASSICAL MECHANICS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 10, no. 03 (September 2007): 421–38. http://dx.doi.org/10.1142/s0219025707002804.

Full text

Abstract:

We develop Fourier analysis over hyperbolic algebra (the two-dimensional commutative algebra with the basis e1 = 1, e2 = j, where j2 = 1). We demonstrated that classical mechanics has, besides the well-known quantum deformation over complex numbers, another deformation — so-called hyperbolic quantum mechanics. The classical Poisson bracket can be obtained as the limit h → 0 not only of the ordinary Moyal bracket, but also a hyperbolic analogue of the Moyal bracket.

APA, Harvard, Vancouver, ISO, and other styles

41

Rowe, E. G. P. "The classical limit of quantum mechanical hydrogen radial distributions." European Journal of Physics 8, no. 2 (April 1, 1987): 81–87. http://dx.doi.org/10.1088/0143-0807/8/2/002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Matzkin, A. "Bohmian Mechanics, the Quantum-Classical Correspondence and the Classical Limit: The Case of the Square Billiard." Foundations of Physics 39, no. 8 (April 7, 2009): 903–20. http://dx.doi.org/10.1007/s10701-009-9304-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Bonnar, James D., and Jeffrey R. Schmidt. "Classical orbits from the wave function in the large-quantum-number limit." Canadian Journal of Physics 81, no. 7 (July 1, 2003): 929–39. http://dx.doi.org/10.1139/p03-065.

Full text

Abstract:

Classical trajectories for the Coulomb potential are obtained from the large principle quantum-number limit of solutions to the nonrelativistic Schrödinger equation, by use of integral equations satisfied by the radial probability density function. These trajectories are found to be in excellent agreement with those computed directly from classical mechanics, in accordance with a statement of the Bohr Correspondence principle, except in a region very close to the center of force. PACS No.: 05.45.Mt

APA, Harvard, Vancouver, ISO, and other styles

44

ELZE, HANS-THOMAS. "THE GAUGE SYMMETRY OF THE THIRD KIND AND QUANTUM MECHANICS AS AN INFRARED LIMIT." International Journal of Quantum Information 05, no. 01n02 (February 2007): 215–22. http://dx.doi.org/10.1142/s0219749907002657.

Full text

Abstract:

We introduce functional degrees of freedom by a new gauge principle related to the phase of the wave functional. Thus, quantum mechanical systems are dissipatively embedded into a nonlinear classical dynamical structure. There is a necessary fundamental length, besides an entropy/area parameter, and standard couplings. For states that are sufficiently spread over configuration space, quantum field theory is recovered.

APA, Harvard, Vancouver, ISO, and other styles

45

Delaney, P., and J. C. Greer. "Classical computation with quantum systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2065 (November 4, 2005): 117–35. http://dx.doi.org/10.1098/rspa.2005.1565.

Full text

Abstract:

As semiconductor electronic devices scale to the nanometer range and quantum structures (molecules, fullerenes, quantum dots, nanotubes) are investigated for use in information processing and storage, it becomes useful to explore the limits imposed by quantum mechanics on classical computing. To formulate the problem of a quantum mechanical description of classical computing, electronic device and logic gates are described as quantum sub-systems with inputs treated as boundary conditions, outputs expressed as operator expectation values, and transfer characteristics and logic operations expressed through the sub-system Hamiltonian, with constraints appropriate to the boundary conditions. This approach, naturally, leads to a description of the sub-systems in terms of density matrices. Application of the maximum entropy principle subject to the boundary conditions (inputs) allows for the determination of the density matrix (logic operation), and for calculation of expectation values of operators over a finite region (outputs). The method allows for an analysis of the static properties of quantum sub-systems.

APA, Harvard, Vancouver, ISO, and other styles

46

Oliveira, Adélcio C. "Continuum reset dynamics as a pathway to Newtonian classical limit of Quantum Mechanics." Physica A: Statistical Mechanics and its Applications 579 (October 2021): 126099. http://dx.doi.org/10.1016/j.physa.2021.126099.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Benatti, Fabio, and Laure Gouba. "Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space." Open Systems & Information Dynamics 22, no. 04 (December 2015): 1550021. http://dx.doi.org/10.1142/s1230161215500213.

Full text

Abstract:

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

APA, Harvard, Vancouver, ISO, and other styles

48

Licata, Ignazio, and Leonardo Chiatti. "Event-Based Quantum Mechanics: A Context for the Emergence of Classical Information." Symmetry 11, no. 2 (February 3, 2019): 181. http://dx.doi.org/10.3390/sym11020181.

Full text

Abstract:

This paper explores an event-based version of quantum mechanics which differs from the commonly accepted one, even though the usual elements of quantum formalism, e.g., the Hilbert space, are maintained. This version introduces as primary element the occurrence of micro-events induced by usual physical (mechanical, electromagnetic and so on) interactions. These micro-events correspond to state reductions and are identified with quantum jumps, already introduced by Bohr in his atomic model and experimentally well established today. Macroscopic bodies are defined as clusters of jumps; the emergence of classicality thus becomes understandable and time honoured paradoxes can be solved. In particular, we discuss the cat paradox in this context. Quantum jumps are described as temporal localizations of physical quantities; if the information associated with these localizations has to be finite, two time scales spontaneously appear: an upper cosmological scale and a lower scale of elementary “particles”. This allows the interpretation of the Bekenstein limit like a particular informational constraint on the manifestation of a micro-event in the cosmos it belongs. The topic appears relevant in relation to recent discussions on possible spatiotemporal constraints on quantum computing.

APA, Harvard, Vancouver, ISO, and other styles

49

Guerra, Francesco. "A.O. Bolivar, Quantum-Classical Correspondence Dynamical Quantization and the Classical Limit. Springer Series: The Frontiers Collection." Meccanica 42, no. 5 (February 16, 2007): 517–18. http://dx.doi.org/10.1007/s11012-006-9044-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Rajput, B. S. "Quantum equations from Brownian motion." Canadian Journal of Physics 89, no. 2 (February 2011): 185–91. http://dx.doi.org/10.1139/p10-111.

Full text

Abstract:

The Schrödinger free particle equation in 1+1 dimension describes second-order effects in ensembles of lattice random walks, in addition to its role in quantum mechanics, and its solutions represent the continuous limit of a property of ensembles of Brownian particles. In the present paper, the classical Schrödinger and Dirac equations have been derived from the Brownian motions of a particle, and it has been shown that the classical Schrödinger equation can be transformed into the usual Schrödinger quantum equation on applying the Heisenberg uncertainty principle between position and momentum, while the Dirac quantum equation follows from its classical counterpart on applying the Heisenberg uncertainty principle between energy and time, without applying any analytical continuation.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!