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Journal articles on the topic 'Quantum mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Tu, Runsheng. "A New Theoretical System Combinating Classical Mechanics and Quantum Mechanics." Advances in Theoretical & Computational Physics 8, no. 2 (2025): 01–06. https://doi.org/10.33140/atcp.08.02.01.

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Replacing the potential energy of electromagnetic interactions in the original Schrödinger equation with the potential energy of gravitational interactions can lead to the Schr ö dinger equation of gravitational potential energy. It is a product of the combination of classical mechanics and quantum mechanics, suitable for describing macroscopic and microscopic systems. A quantum chemistry method that combines classical mechanics and quantum mechanics can be established. Multiple computational examples have been provided for applying this method. The established basic particle structure configu

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2

UBRIACO, MARCELO R. "QUANTUM DEFORMATIONS OF QUANTUM MECHANICS." Modern Physics Letters A 08, no. 01 (1993): 89–96. http://dx.doi.org/10.1142/s0217732393000106.

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Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases. A formulation of quantum mechanics for qk=1 is given and the dynamics for the free Hamiltonian is studied. For 0<q<1 we develop a deformation of quantum mechanics and the cases of the free Hamiltonian and the one with a x2-potential are solved in terms of basic hypergeometric functions.

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3

Liboff, Richard L., P. J. Peebles, and David Finkelstein. "Introductory Quantum Mechanics and Quantum Mechanics." Physics Today 46, no. 4 (1993): 60–62. http://dx.doi.org/10.1063/1.2808872.

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4

Băjenescu, Titu-Marius I. "QUANTUM COMPUTING." Journal of Engineering Science XXVIII (1) (March 15, 2021): 83–90. https://doi.org/10.52326/jes.utm.2021.28(1).08.

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The quantum computer, is a "supercomputer" that relies on the phenomena of quantum mechanics to perform operations on data. Object of suppositions, sometimes far-fetched, quantum mechanics gave birth to the quantum computer, a machine capable of processing data tens of millions of times faster than a conventional computer. A quantum computer doesn't use the same memory as a conventional computer. Rather than a sequence of 0 and 1, it works with qubits or quantum bits. The quantum computer is a combination of two major scientific fields: quantum mechanics and computer science. Qua

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5

Koutandos, Spiros. "Light and Darkness in Quantum Mechanics." Open Access Journal of Astronomy 2, no. 2 (2024): 1–3. http://dx.doi.org/10.23880/oaja-16000132.

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In this paper we investigate the light and darkness in causality associated with quantum mechanics. As we may not be certain of a some quantities like is momentum and position at the same time we need an explanation for the observation ambiguities. We claim that there is a ghost like fifth dimension with an imaginary term and we give some formulas only to be connected with our previous work.

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6

Mercier de Lépinay, Laure, Caspar F. Ockeloen-Korppi, Matthew J. Woolley, and Mika A. Sillanpää. "Quantum mechanics–free subsystem with mechanical oscillators." Science 372, no. 6542 (2021): 625–29. http://dx.doi.org/10.1126/science.abf5389.

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Quantum mechanics sets a limit for the precision of continuous measurement of the position of an oscillator. We show how it is possible to measure an oscillator without quantum back-action of the measurement by constructing one effective oscillator from two physical oscillators. We realize such a quantum mechanics–free subsystem using two micromechanical oscillators, and show the measurements of two collective quadratures while evading the quantum back-action by 8 decibels on both of them, obtaining a total noise within a factor of 2 of the full quantum limit. This facilitates the detection of

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7

Tran, J., L. Doughty, and J. K. Freericks. "The 1925 revolution of matrix mechanics and how to celebrate it in modern quantum mechanics classes." American Journal of Physics 93, no. 1 (2025): 14–20. https://doi.org/10.1119/5.0195658.

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In 1925, Heisenberg, Born, and Jordan developed matrix mechanics as a strategy to solve quantum-mechanical problems. While finite-sized matrix formulations are commonly taught in quantum instruction, following the logic and detailed steps of the original matrix mechanics has become a lost art. In preparation for the 100th anniversary of the discovery of quantum mechanics, we present a modernized discussion of how matrix mechanics is formulated, how it is used to solve quantum-mechanical problems, and how it can be employed as the starting point for a postulate-based formulation of quantum-mech

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8

Ciann-Dong, Yang. "Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom." Annals of Physics 321, no. 12 (2006): 2876. https://doi.org/10.1016/j.aop.2006.07.008.

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Annals of Physics Volume 321, Issue 12, December 2006, Pages 2876-2926 Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom Author links open overlay panelCiann-DongYang Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan 701, Taiwan Received 14 January 2006, Accepted 24 July 2006, Available online 8 September 2006.   https://doi.org/10.1016/j.aop.2006.07.008 Get rights and content Abstract This paper gives a thorough investigation on formulating and solving quantum problems by extende

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9

YF, Chang. "Restructure of Quantum Mechanics by Duality, the Extensive Quantum Theory and Applications." Physical Science & Biophysics Journal 8, no. 1 (2024): 1–9. http://dx.doi.org/10.23880/psbj-16000265.

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Reconstructing quantum mechanics has been an exploratory direction for physicists. Based on logical structure and basic principles of quantum mechanics, we propose a new method on reconstruction quantum mechanics completely by the waveparticle duality. This is divided into two steps: First, from wave form and duality we obtain the extensive quantum theory, which has the same quantum formulations only with different quantum constants H; then microscopic phenomena determine H=h. Further, we derive the corresponding commutation relation, the uncertainty principle and Heisenberg equation, etc. The

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10

Hammerer, K. "Quantum Mechanics Tackles Mechanics." Science 342, no. 6159 (2013): 702–3. http://dx.doi.org/10.1126/science.1245797.

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11

Luna, Homero. "The Mercury Orbit and the Quantum Mechanics." International Journal of Science and Research (IJSR) 12, no. 9 (2023): 487–88. http://dx.doi.org/10.21275/sr23310042612.

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12

Farina, John, and Franz Schwabl. "Quantum Mechanics." Mathematical Gazette 77, no. 480 (1993): 394. http://dx.doi.org/10.2307/3619811.

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13

Sontag, Frederick. "Quantum Mechanics." International Studies in Philosophy 24, no. 1 (1992): 97–98. http://dx.doi.org/10.5840/intstudphil199224121.

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14

Rae, Alastair I. M., and Doug Cohn. "Quantum Mechanics." American Journal of Physics 53, no. 9 (1985): 925. http://dx.doi.org/10.1119/1.14383.

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15

McMurry, Sara M., and Donald H. Kobe. "Quantum Mechanics." American Journal of Physics 63, no. 7 (1995): 671–72. http://dx.doi.org/10.1119/1.17836.

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16

Ballentine, Leslie E., and David Griffiths. "Quantum Mechanics." American Journal of Physics 59, no. 12 (1991): 1153–54. http://dx.doi.org/10.1119/1.16631.

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17

Beeby, J. L. "Quantum mechanics." Endeavour 17, no. 1 (1993): 42. http://dx.doi.org/10.1016/0160-9327(93)90017-w.

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18

Charlesby, A. "Quantum mechanics." Radiation Physics and Chemistry 48, no. 4 (1996): 530–31. http://dx.doi.org/10.1016/0969-806x(96)82562-x.

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19

Merzbacher, Eugen, and Daniel Greenberger. "Quantum Mechanics." Physics Today 52, no. 5 (1999): 64–66. http://dx.doi.org/10.1063/1.882667.

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20

Tursunova, Zukhra Botyrovna Sadikova Nargiza Bakhtiorovna Sunatova Dilfuza Abatovna Sultankhodjaeva Gulnoza Shukhratovna. "QUANTUM MECHANICS." INTERNATIONAL BULLETIN OF APPLIED SCIENCE AND TECHNOLOGY 2, no. 10 (2022): 95–99. https://doi.org/10.5281/zenodo.7207706.

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This article gives a brief information to quantum mechanics. Quantum mechanics can be thought of roughly as the study of physics on very small length scales, although there are also certain macroscopic systems it directly applies to. The descriptor “quantum” arises because in contrast with classical mechanics, certain quantities take on only discrete values. However, some quantities still take on continuous values, as we’ll see.

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21

Ralston, John P. "and quantum mechanics embedded in symplectic quantum mechanics." Journal of Physics A: Mathematical and Theoretical 40, no. 32 (2007): 9883–904. http://dx.doi.org/10.1088/1751-8113/40/32/013.

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22

Fernández de Córdoba, P., J. M. Isidro, Milton H. Perea, and J. Vazquez Molina. "The irreversible quantum." International Journal of Geometric Methods in Modern Physics 12, no. 01 (2014): 1550013. http://dx.doi.org/10.1142/s0219887815500139.

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We elaborate on the existing notion that quantum mechanics is an emergent phenomenon, by presenting a thermodynamical theory that is dual to quantum mechanics. This dual theory is that of classical irreversible thermodynamics. The linear regime of irreversibility considered here corresponds to the semiclassical approximation in quantum mechanics. An important issue we address is how the irreversibility of time evolution in thermodynamics is mapped onto the quantum-mechanical side of the correspondence.

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23

Beyer, Michael, and Wolfgang Paul. "On the Stochastic Mechanics Foundation of Quantum Mechanics." Universe 7, no. 6 (2021): 166. http://dx.doi.org/10.3390/universe7060166.

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Among the famous formulations of quantum mechanics, the stochastic picture developed since the middle of the last century remains one of the less known ones. It is possible to describe quantum mechanical systems with kinetic equations of motion in configuration space based on conservative diffusion processes. This leads to the representation of physical observables through stochastic processes instead of self-adjoint operators. The mathematical foundations of this approach were laid by Edward Nelson in 1966. It allows a different perspective on quantum phenomena without necessarily using the w

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24

Owczarek, Robert. "Quantum mechanics for quantum computing." Journal of Knot Theory and Its Ramifications 25, no. 03 (2016): 1640009. http://dx.doi.org/10.1142/s0218216516400095.

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Quantum computing is a field of great interest, attracting, among others, the attention of many mathematicians. Although not all quantum mechanics is needed to successfully engage in research on quantum computing, the somewhat superficial approach usually applied by non-physicists is, in the opinion of the author of the lectures, not feasible. The following notes from lectures given at the mathematics department of George Washington University are meant to be a partial remedy to the situation, offering a very brief and slightly unorthodox introduction to one-particle quantum mechanics, and eve

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25

Niehaus, Arend. "Quantum Interference without Quantum Mechanics." Journal of Modern Physics 10, no. 04 (2019): 423–31. http://dx.doi.org/10.4236/jmp.2019.104027.

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26

Eveson, Simon P., Christopher J. Fewster, and Rainer Verch. "Quantum Inequalities in Quantum Mechanics." Annales Henri Poincaré 6, no. 1 (2005): 1–30. http://dx.doi.org/10.1007/s00023-005-0197-9.

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27

ACOSTA, D., P. FERNÁNDEZ DE CÓRDOBA, J. M. ISIDRO, and J. L. G. SANTANDER. "EMERGENT QUANTUM MECHANICS AS A CLASSICAL, IRREVERSIBLE THERMODYNAMICS." International Journal of Geometric Methods in Modern Physics 10, no. 04 (2013): 1350007. http://dx.doi.org/10.1142/s0219887813500072.

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We present an explicit correspondence between quantum mechanics and the classical theory of irreversible thermodynamics as developed by Onsager, Prigogine et al. Our correspondence maps irreversible Gaussian Markov processes into the semiclassical approximation of quantum mechanics. Quantum-mechanical propagators are mapped into thermodynamical probability distributions. The Feynman path integral also arises naturally in this setup. The fact that quantum mechanics can be translated into thermodynamical language provides additional support for the conjecture that quantum mechanics is not a fund

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28

Nash, C. G., and G. C. Joshi. "Quaternionic quantum mechanics is consistent with complex quantum mechanics." International Journal of Theoretical Physics 31, no. 6 (1992): 965–81. http://dx.doi.org/10.1007/bf00675088.

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29

D'Esposito, Vittorio, Giuseppe Fabiano, Domenico Frattulillo, and Flavio Mercati. "Doubly Quantum Mechanics." Quantum 9 (April 24, 2025): 1721. https://doi.org/10.22331/q-2025-04-24-1721.

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Motivated by the expectation that relativistic symmetries might acquire quantum features in Quantum Gravity, we take the first steps towards a theory of ''Doubly'' Quantum Mechanics, a modification of Quantum Mechanics in which the geometrical configurations of physical systems, measurement apparata, and reference frame transformations are themselves quantized and described by ''geometry'' states in a Hilbert space. We develop the formalism for spin-12 measurements by promoting the group of spatial rotations SU(2) to the quantum group SUq(2) and generalizing the axioms of Quantum Theory in a c

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30

Schwab, Keith C., and Michael L. Roukes. "Putting Mechanics into Quantum Mechanics." Physics Today 58, no. 7 (2005): 36–42. http://dx.doi.org/10.1063/1.2012461.

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31

De-Ming, Ren. "Classical Mechanics and Quantum Mechanics." Communications in Theoretical Physics 41, no. 5 (2004): 685–88. http://dx.doi.org/10.1088/0253-6102/41/5/685.

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32

Grössing, Gerhard. "Emergence of quantum mechanics from a sub-quantum statistical mechanics." International Journal of Modern Physics B 28, no. 26 (2014): 1450179. http://dx.doi.org/10.1142/s0217979214501793.

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A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent throughput of energy from the zero-point vacuum, the quantum is considered as an emergent system. We implement a specific "bouncer-walker" model in the context of an assumed sub-quantum statistical physics, in analogy to the results of experiments by Couder and Fort on a classical wave-particle duality. We can thus give an explanation of various quantum mecha

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33

Koutandos, Spiros. "About the Role of Observers in Quantum Mechanics." Open Access Journal of Astronomy 2, no. 2 (2024): 1–3. https://doi.org/10.23880/oaja-16000141.

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In this paper we discuss about the role of observers in our four dimensional universe of the events taking place. Time is the thread which connects the fabric of our world and we believe it to be flowing from a fifth dimension. Observers in quantum mechanics resemble human observers and it seems nature has been built around our existence.

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34

Gavrilik, A. M., I. I. Kachurik, and A. V. Lukash. "New Version of q-Deformed Supersymmetric Quantum Mechanics." Ukrainian Journal of Physics 58, no. 11 (2013): 1025–32. http://dx.doi.org/10.15407/ujpe58.11.1025.

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35

Rohit, Gupta, and Verma Dinesh. "Eigenenergy values and Eigenfunctions of one-dimensional quantum mechanical harmonic oscillator." IOSR Journal of Engineering (IOSRJEN) 9, no. 1 (2023): 17–21. https://doi.org/10.5281/zenodo.7725183.

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Quantum mechanics is one of the branches of physics. In this mechanics, physical problems are solved by algebraic and analytic methods. By applying a simple procedure we can find the general solutions of Schrodinger’s time - independent wave equation of one dimensional quantum mechanical harmonic oscillator without making any approximation. In this paper, we will discuss the Eigenenergy values and Eigenfunctions of one of the most important physical models of quantum mechanics, namely the one-dimensional Quantum mechanical Harmonic Oscillator by modifying the Hermite differential equatio

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36

Sharoglazova, Violetta, Marius Puplauskis, Charlie Mattschas, Chris Toebes, and Jan Klaers. "Energy–speed relationship of quantum particles challenges Bohmian mechanics." Nature 643, no. 8070 (2025): 67–72. https://doi.org/10.1038/s41586-025-09099-4.

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Abstract Classical mechanics characterizes the kinetic energy of a particle, the energy it holds due to its motion, as consistently positive. By contrast, quantum mechanics describes the motion of particles using wave functions, in which regions of negative local kinetic energy can emerge1. This phenomenon occurs when the amplitude of the wave function experiences notable decay, typically associated with quantum tunnelling. Here, we investigate the quantum mechanical motion of particles in a system of two coupled waveguides, in which the population transfer between the waveguides acts as a clo

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37

Richard, Oldani. "The Conservation Laws in Quantum Mechanics." J Biomed Res Environ Sci 4, no. 4 (2023): 654–59. https://doi.org/10.37871/jbres1722.

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Is often claimed that Einstein is wrong about quantum mechanics. However, when compared with respect to theoretical foundations rather than experimental results Einstein’s theories are found to be superior. Although quantum mechanics correctly predicts what it is possible to observe (the emissions) it ignores the other half of natural phenomena, what cannot be observed (the absorptions), thereby violating the conservation laws. By describing only one-half of quantum mechanics conceptual difficulties such as wave function collapse, infinite paths, and inscrutable mathematics seem to appea

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38

Yamaguchi, Y. "Quantum Mechanics and Quantum Field Theories in the Quantized Space. II: -- Quantum Mechanics --." Progress of Theoretical Physics 113, no. 4 (2005): 883–909. http://dx.doi.org/10.1143/ptp.113.883.

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39

Yokoi, Yuho, and Sumiyoshi Abe. "On quantum-mechanical origin of statistical mechanics." Journal of Physics: Conference Series 1113 (November 2018): 012012. http://dx.doi.org/10.1088/1742-6596/1113/1/012012.

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40

Mitra, Manu. "Quantum Matrices Using Quantum Gates." COJ Electronics & Communications 1, no. 2 (2018): 1–22. https://doi.org/10.13140/RG.2.2.32591.94887.

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Quantum mechanics explains the behavior of matter and its movement with energy in the scale of atoms and subatomic particles. In quantum circuits there are many gates such as Hadamard Gate, Pauli Gates, many more gates for half turns, quarter turns, eighth turns, sixteenth turns and so on, rest for spinning, parametrized etc. Linear operators in general and quantum mechanics can be represented in the form of vectors and in turn can be viewed as matrices format because linear operators are totally equivalent with the matrices view point. This paper discloses creation of various quantum matrices

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41

Zhang, Zhidong. "Topological Quantum Statistical Mechanics and Topological Quantum Field Theories." Symmetry 14, no. 2 (2022): 323. http://dx.doi.org/10.3390/sym14020323.

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The Ising model describes a many-body interacting spin (or particle) system, which can be utilized to imitate the fundamental forces of nature. Although it is the simplest many-body interacting system of spins (or particles) with Z2 symmetry, the phenomena revealed in Ising systems may afford us lessons for other types of interactions in nature. In this work, we first focus on the mathematical structure of the three-dimensional (3D) Ising model. In the Clifford algebraic representation, many internal factors exist in the transfer matrices of the 3D Ising model, which are ascribed to the topolo

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42

Lawrence, Jay, Marcin Markiewicz, and Marek Żukowski. "Relative Facts of Relational Quantum Mechanics are Incompatible with Quantum Mechanics." Quantum 7 (May 23, 2023): 1015. http://dx.doi.org/10.22331/q-2023-05-23-1015.

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Relational Quantum Mechanics (RQM) claims to be an interpretation of quantum theory \cite{Rovelli.21}. However, there are significant departures from quantum theory: (i) in RQM measurement outcomes arise from interactions which entangle a system S and an observer A without decoherence, and (ii) such an outcome is a "fact" relative to the observer A, but it is not a fact relative to another observer B who has not interacted with S or A during the foregoing measurement process. For B the system S&#x2297;A remains entangled. We derive a GHZ-like contradiction showing that relative facts descr

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43

Zheng, Shengjie, Guiju Duan, and Baizhan Xia. "Progress in Topological Mechanics." Applied Sciences 12, no. 4 (2022): 1987. http://dx.doi.org/10.3390/app12041987.

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Topological mechanics is rapidly emerging as an attractive field of research where mechanical waveguides can be designed and controlled via topological methods. With the development of topological phases of matter, recent advances have shown that topological states have been realized in the elastic media exploiting analogue quantum Hall effect, analogue quantum spin Hall effect, analogue quantum valley Hall effect, higher-order topological physics, topological pump, topological lattice defects and so on. This review aims to introduce the experimental and theoretical achievements with defect-im

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44

Khan, Faisal Shah, and Simon J. D. Phoenix. "Gaming the quantum." Quantum Information and Computation 13, no. 3&4 (2013): 231–44. http://dx.doi.org/10.26421/qic13.3-4-5.

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In the time since the merger of quantum mechanics and game theory was proposed formally in 1999, the two distinct perspectives apparent in this merger of applying quantum mechanics to game theory, referred to henceforth as the theory of ``quantized games'', and of applying game theory to quantum mechanics, referred to henceforth as ``gaming the quantum'', have become synonymous under the single ill-defined term ``quantum game''. Here, these two perspectives are delineated and a game-theoretically proper description of what makes a multiplayer, non-cooperative game quantum mechanical, is given.

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45

Walmsley, M., and J. R. Killingbeck. "Microcomputer Quantum Mechanics." Mathematical Gazette 69, no. 448 (1985): 153. http://dx.doi.org/10.2307/3616960.

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46

Mudge, Michael R., and R. C. Greenhow. "Introductory Quantum Mechanics." Mathematical Gazette 75, no. 474 (1991): 495. http://dx.doi.org/10.2307/3618668.

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47

Farina, John E. G., W. Greiner, and B. Muller. "Quantum Mechanics: Symmetries." Mathematical Gazette 75, no. 472 (1991): 262. http://dx.doi.org/10.2307/3620315.

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48

Mills, Randell L. "Classical Quantum Mechanics." Physics Essays 16, no. 4 (2003): 433–98. http://dx.doi.org/10.4006/1.3025609.

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49

Vedral, Vlatko. "Untangling quantum mechanics." Nature 420, no. 6913 (2002): 271. http://dx.doi.org/10.1038/420271a.

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50

Frappier, Mélanie. "Questioning quantum mechanics." Science 359, no. 6383 (2018): 1474.1–1474. http://dx.doi.org/10.1126/science.aas9190.

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