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Journal articles on the topic 'Semi-classical quantization'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Arsenović, D., A. O. Barut, Z. Marić, and M. Bozić. "Semi-classical quantization of the magnetic top." Il Nuovo Cimento B Series 11 110, no. 2 (1995): 163–75. http://dx.doi.org/10.1007/bf02741499.

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2

Dasgupta, Arundhati. "Semi-classical quantization of spacetimes with apparent horizons." Classical and Quantum Gravity 23, no. 3 (2006): 635–71. http://dx.doi.org/10.1088/0264-9381/23/3/007.

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3

Samsonov, Maxim. "Quantization of Semi-Classical Twists and Noncommutative Geometry." Letters in Mathematical Physics 75, no. 1 (2006): 63–77. http://dx.doi.org/10.1007/s11005-005-0038-2.

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4

Yabana, K., and H. Horiuchi. "Semi-Classical Quantization for Multi-Dimensional Coupled-Channel Equation." Progress of Theoretical Physics 77, no. 3 (1987): 517–47. http://dx.doi.org/10.1143/ptp.77.517.

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5

Mickens, R. E. "Semi-classical quantization using the method of harmonic balance." Il Nuovo Cimento B 101, no. 3 (1988): 359–65. http://dx.doi.org/10.1007/bf02828714.

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6

Charles, L. "Semi-Classical Properties of Geometric Quantization with Metaplectic Correction." Communications in Mathematical Physics 270, no. 2 (2006): 445–80. http://dx.doi.org/10.1007/s00220-006-0155-5.

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7

Bechouche, Philippe. "Semi-classical Limit in a Semiconductor Superlattice." VLSI Design 9, no. 4 (1999): 315–23. http://dx.doi.org/10.1155/1999/26709.

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In this paper, we perform a mathematical study of a semiconductor superlattice. Since the thickness of the layers is very small, quantization plays an important role. The modelling is therefore given by a Schrödinger equation with a periodic potential. The scaled lattice thickness is denoted by a small parameter ℇ which is of the same order of magnitude as the Planck constant. When this parameter tends to zero, i.e., the semi-classical limit, we obtain classical transport of the charge carriers described by a Vlasov equation.

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8

Stepanov, S. S., R. S. Tutik, A. P. Yaroshenko, and W. von Schlippe. "Semi-Classical quantization nonmanifestly using the method of harmonic balance." Il Nuovo Cimento B 106, no. 3 (1991): 329–32. http://dx.doi.org/10.1007/bf02759777.

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9

Chakraborty, Sumanta, and Kinjalk Lochan. "Quantum leaps of black holes: Magnifying glasses of quantum gravity." International Journal of Modern Physics D 25, no. 12 (2016): 1644024. http://dx.doi.org/10.1142/s0218271816440247.

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We show using simple arguments, that the conceptual triad of a classical black hole, semi-classical Hawking emission and geometry quantization is inherently, mutually incompatible. Presence of any two explicitly violates the third. We argue that geometry quantization, if realized in nature, magnifies the quantum gravity features hugely to catapult them into the realm of observational possibilities. We also explore a quantum route towards extremality of the black holes.

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10

Silver, Ari, and Karl Sohlberg. "Semi-Classical Quantization of the Shuttling Eigenstates in a [2]Rotaxane." Journal of Computational and Theoretical Nanoscience 3, no. 6 (2006): 982–88. http://dx.doi.org/10.1166/jctn.2006.3086.

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11

Fraser, Christophe, and Timothy J. Hollowood. "Semi-classical quantization in N = 4 supersymmetric Yang-Mills theory and duality." Physics Letters B 402, no. 1-2 (1997): 106–12. http://dx.doi.org/10.1016/s0370-2693(97)00429-2.

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12

Kosok, M., and V. L. Madhyastha. "Semi-classical derivation of charge-quantization through charge-field self-interaction-I." Il Nuovo Cimento B Series 11 105, no. 4 (1990): 469–80. http://dx.doi.org/10.1007/bf02728827.

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13

GUZMÁN, WALBERTO, MIGUEL SABIDO, JOSÉ SOCORRO, and L. ARTURO UREÑA-LÓPEZ. "SCALAR POTENTIALS OUT OF CANONICAL QUANTUM COSMOLOGY." International Journal of Modern Physics D 16, no. 04 (2007): 641–53. http://dx.doi.org/10.1142/s0218271807009401.

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Using canonical quantization of a flat FRW cosmological model containing a real scalar field ϕ endowed with a scalar potential V(ϕ), we are able to obtain exact and semi-classical solutions of the so-called Wheeler–DeWitt equation for a particular family of scalar potentials. Some features of the solutions and their classical limits are discussed.

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14

MANFREDI, V. R., and L. SALASNICH. "ENERGY LEVEL QUASI-CROSSINGS: ACCIDENTAL DEGENERACIES OR SIGNATURE OF QUANTUM CHAOS?" International Journal of Modern Physics E 09, no. 04 (2000): 279–97. http://dx.doi.org/10.1142/s0218301300000283.

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In the field of quantum chaos, the study of energy levels plays an important role. The aim of this review is to critically discuss some of the main contributions regarding the connection between classical dynamics, semi-classical quantization and spectral statistics of energy levels. In particular, we analyze in detail degeneracies and quasi-crossings in the eigenvalues of quantum Hamiltonians which are classically non-integrable.

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15

Das, Praloy, Souvik Pramanik, and Subir Ghosh. "Particle on a torus knot: Constrained dynamics and semi-classical quantization in a magnetic field." Annals of Physics 374 (November 2016): 67–83. http://dx.doi.org/10.1016/j.aop.2016.08.002.

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16

Pingak, Redi Kristian, Albert Zicko Johannes, Fidelis Nitti, and Meksianis Zadrak Ndii. "A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation." Indonesian Journal of Chemistry 21, no. 3 (2021): 725. http://dx.doi.org/10.22146/ijc.63294.

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This study aims to apply a semi-classical approach using some analytically solvable potential functions to accurately compute the first ten pure vibrational energies of molecular hydrogen (H2) and its isotopes in their ground electronic states. This study also aims at comparing the accuracy of the potential functions within the framework of the semi-classical approximation. The performance of the approximation was investigated as a function of the molecular mass. In this approximation, the nuclei were assumed to move in a classical potential. The Bohr-Sommerfeld quantization rule was then appl

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17

ARRIOLA, E. RUIZ, and L. L. SALCEDO. "SEMICLASSICAL EXPANSION FOR DIRAC HAMILTONIANS." Modern Physics Letters A 08, no. 22 (1993): 2061–69. http://dx.doi.org/10.1142/s021773239300177x.

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A simple and efficient calculation of the level density of Dirac Hamiltonians in the semi-classical approximation is presented. The method is applied to compute the level density up to ħ4-order of a Dirac Hamiltonian with time independent scalar and electromagnetic external fields. The final expressions are explicitly gauge invariant and convergent at the turning points. As a byproduct, we obtain ħ-corrections to the semiclassical quantization rule of a Dirac Hamiltonian in D space dimensions. The result is illustrated in an exactly solvable problem.

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18

Ifa, A., and M. Rouleux. "The one dimensional semi-classical Bogoliubov-de Gennes Hamiltonian with PT symmetry: generalized Bohr-Sommerfeld quantization rules." Journal of Physics: Conference Series 1194 (April 2019): 012049. http://dx.doi.org/10.1088/1742-6596/1194/1/012049.

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19

Soylu, A. "Semi-classical calculations of the α decay half-lives for even–even nuclei". International Journal of Modern Physics E 28, № 06 (2019): 1950042. http://dx.doi.org/10.1142/s0218301319500423.

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The half-lives of the [Formula: see text] decay for even–even nuclei having [Formula: see text] (164 nuclei) have been calculated by using the Wentzel–Kramers–Brillouin (WKB) method together Bohr–Sommerfeld (BS) quantization condition for cosh potential in two-different forms with and without the isospin effects for six different parameter sets. By comparing the obtained results with the experimental values, the rms deviations have been computed. It is obtained that when the cosh potential is used in 2 different type forms, the rms values are also changed and the better one for obtaining the h

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20

Wiersig, Jan, and Peter H. Richter. "Energy Surfaces of Ellipsoidal Billiards." Zeitschrift für Naturforschung A 51, no. 4 (1996): 219–41. http://dx.doi.org/10.1515/zna-1996-0401.

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Abstract Energy surfaces in the space of action variables are calculated and graphically presented for general triaxial ellipsoidal billiards. As was demonstrated by Jacobi in 1838, the system may be integrated in terms of hyperelliptic functions. The actual computation, however, has never been done. It is found that generic energy surfaces consist of seven pieces, representing topologically different types of invariant tori. The character of the corresponding motion is discussed. Frequencies, winding numbers, and the location of resonances are also determined. The results may serve as a basis

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21

Pailas, Theodoros. "“Time”-Covariant Schrödinger Equation and the Canonical Quantization of the Reissner–Nordström Black Hole." Quantum Reports 2, no. 3 (2020): 414–41. http://dx.doi.org/10.3390/quantum2030029.

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A “time”-covariant Schrödinger equation is defined for the minisuperspace model of the Reissner–Nordström (RN) black hole, as a “hybrid” between the “intrinsic time” Schrödinger and Wheeler–DeWitt (WDW) equations. To do so, a reduced, regular, and “time(r)”-dependent Hamiltonian density was constructed, without “breaking” the re-parametrization covariance r→f(r˜). As a result, the evolution of states with respect to the parameter r and the probabilistic interpretation of the resulting quantum description is possible, while quantum schemes for different gauge choices are equivalent by construct

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22

Pratap, Surender, and Niladri Sarkar. "Application of the Density Matrix Formalism for Obtaining the Channel Density of a Dual Gate Nanoscale Ultra-Thin MOSFET and its Comparison with the Semi-Classical Approach." International Journal of Nanoscience 19, no. 06 (2020): 2050010. http://dx.doi.org/10.1142/s0219581x20500106.

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Density Matrix Formalism using quantum methods has been used for determining the channel density of dual gate ultra-thin MOSFETs. The results obtained from the quantum methods have been compared with the semi-classical methods. This paper discusses in detail the simulation methods using self-consistent schemes and the discretization procedures for constructing the Hamiltonian Matrix for a dual gate MOSFET consisting of oxide/semiconductor/oxide interface and the self-consistent procedure involving the discretization of Poisson’s equation for satisfying the charge neutrality condition in the ch

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23

Aschheim, Raymond, Carlos Castro Perelman, and Klee Irwin. "The search for a Hamiltonian whose energy spectrum coincides with the Riemann zeta zeroes." International Journal of Geometric Methods in Modern Physics 14, no. 06 (2017): 1750109. http://dx.doi.org/10.1142/s0219887817501092.

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Inspired by the Hilbert–Polya proposal to prove the Riemann Hypothesis we have studied the Schroedinger QM equation involving a highly nontrivial potential, and whose self-adjoint Hamiltonian operator has for its energy spectrum one which approaches the imaginary parts of the zeta zeroes only in the asymptotic (very large [Formula: see text]) region. The ordinates [Formula: see text] are the positive imaginary parts of the nontrivial zeta zeroes in the critical line :[Formula: see text]. The latter results are consistent with the validity of the Bohr–Sommerfeld semi-classical quantization cond

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24

BESANA, ALBERTO, and MAURO SPERA. "ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS." Journal of Knot Theory and Its Ramifications 15, no. 07 (2006): 883–912. http://dx.doi.org/10.1142/s0218216506004798.

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The present article delves into some symplectic features arising in basic knot theory. An interpretation of the writhing number of a knot (with reference to a plane projection thereof) is provided in terms of a phase function analogous to those encountered in geometrical optics, its variation upon switching a crossing being akin to the passage through a caustic, yielding a knot theoretical analogue of Maslov's theory, via classical fluidodynamical helicity. The Maslov cycle is given by knots having exactly one double point, among those having a fixed plane shadow and lying on a semi-cone issue

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25

HAN, MUXIN, YONGGE MA, and WEIMING HUANG. "FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY." International Journal of Modern Physics D 16, no. 09 (2007): 1397–474. http://dx.doi.org/10.1142/s0218271807010894.

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In the recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, non-perturbative quantum theory for a Lorentzian gravitational field on a four-dimensional manifold. In the approach, the principles of quantum mechanics are combined with those of general relativity naturally. Such a combination provides us a picture of, so-called, quantum Riemannian geometry, which is discrete on the fundamental sca

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26

MAZUR, PAWEL O. "NONPERTURBATIVE INSTABILITY OF BLACK HOLES IN QUANTUM GRAVITY." Modern Physics Letters A 04, no. 16 (1989): 1497–507. http://dx.doi.org/10.1142/s0217732389001714.

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The final stage of a black hole evaporation due to the Hawking effect is studied. One finds that, including the effects of quantum gravity, a black hole does not evaporate completely losing its energy steadily to a flux of created particles, but rather decays via a change in topology into an asymptotically flat space and an object which is a closed Friedmann Universe. This process is a genuine non-perturbative effect of quantum gravity and becomes the dominant “channel” of a black hole decay for black holes with masses slightly larger than the Planck mass Mp=1019 GeV. We calculate the decay ra

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27

Pingak, Redi Kristian, and Albert Zicko Johannes. "Penentuan Tingkat-Tingkat Energi Vibrasi Molekul Hidrogen Pada Keadaan Elektronik Dasar Menggunakan Potensial Morse." Wahana Fisika 5, no. 1 (2020): 1–9. http://dx.doi.org/10.17509/wafi.v5i1.18614.

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Pendekatan Born-Oppenheimer diterapkan untuk menghitung tingkat energi vibrasi keadaan dasar molekul hidrogen. Persamaan Schrodinger untuk inti atom diselesaikan dengan menggunakan metode semi-klasik, di mana inti atom diasumsikan bergerak secara klasik dalam sumur potensial dan energi vibrasi ditentukan dengan menerapkan aturan kuantisasi kuantum. Potensial yang digunakan pada penelitian adalah potensial Morse. Dalam penelitian ini, tingkat energi vibrasi dihitung dengan metode numerik, yaitu metode integrasi Simpson dan metode regula falsi. 15 Tingkat energi vibrasi dari molekul H2 diperoleh

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28

Bergeron, Hervé, Ewa Czuchry, Jean Pierre Gazeau, and Przemysław Małkiewicz. "Quantum Mixmaster as a Model of the Primordial Universe." Universe 6, no. 1 (2019): 7. http://dx.doi.org/10.3390/universe6010007.

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The Mixmaster solution to Einstein field equations was examined by C. Misner in an effort to better understand the dynamics of the early universe. We highlight the importance of the quantum version of this model for the early universe. This quantum version and its semi-classical portraits are yielded through affine and standard coherent state quantizations and more generally affine and Weyl–Heisenberg covariant integral quantizations. The adiabatic and vibronic approximations widely used in molecular physics can be employed to qualitatively study the dynamics of the model on both quantum and s

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29

"Semi-classical quantization, adiabatic invariants and classical chaos." Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 413, no. 1844 (1987): 157–70. http://dx.doi.org/10.1098/rspa.1987.0107.

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Einstein-Brillouin-Keller (E.B.K.) quantization of multidimensional non-separable classical hamiltonian dynamics is expeditiously carried out with classical adiabatic switching as hoped for in the early days of the old quantum theory by Ehrenfest, and reintroduced rather recently by Solov’ev. The method is briefly described along with a critique relating to the fact that the method seems to assume that invariant tori exist as a continuous one - parameter function of the coupling constant, although they do not. None the less, the method not only appears to work well for the types of systems env

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30

Sheikh-Jabbari, M. M., and H. Yavartanoo. "On quantization of AdS3 gravity I: semi-classical analysis." Journal of High Energy Physics 2014, no. 7 (2014). http://dx.doi.org/10.1007/jhep07(2014)104.

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31

Mayerson, Daniel, and Masaki Shigemori. "Counting D1-D5-P microstates in supergravity." SciPost Physics 10, no. 1 (2021). http://dx.doi.org/10.21468/scipostphys.10.1.018.

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We quantize the D1-D5-P microstate geometries known as superstrata directly in supergravity. We use Rychkov's consistency condition [hep-th/0512053] which was derived for the D1-D5 system; for superstrata, this condition turns out to be strong enough to fix the symplectic form uniquely. For the (1,0,n) superstrata, we further confirm this quantization by a bona-fide explicit computation of the symplectic form using the semi-classical covariant quantization method in supergravity. We use the resulting quantizations to count the known supergravity superstrata states, finding agreement with previ

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32

Gambini, Rodolfo, Javier Olmedo, and Jorge Pullin. "Loop Quantum Black Hole Extensions Within the Improved Dynamics." Frontiers in Astronomy and Space Sciences 8 (June 11, 2021). http://dx.doi.org/10.3389/fspas.2021.647241.

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We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains semi-classical states that approximate general relativity coupled to an effective anisotropic fluid. The singularity is eliminated and the space-time can be continued into a white hole space-time. This is similar to previously considered scenarios based on a loop quantum gravity quantization.

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33

Loizides, Yiannis, Paul-Emile Paradan, and Michele Vergne. "Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization." Indagationes Mathematicae, September 2020. http://dx.doi.org/10.1016/j.indag.2020.08.009.

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34

Veklenko, Boris A. "The Nature of the Photon and Quantum Optics." Light & Engineering, April 2018, 4–13. http://dx.doi.org/10.33383/2017-089.

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In a concise, but accessible for the first acquaintance form the procedure for the quantization of linear oscillator is set out. By analogy with this procedure the procedure of quantization (second quantization) of classical Maxwell’s electrodynamics is set up. The physical sense of the wave functions arguments of transverse electromagnetic field and its Fourier transformation is set up. One pay attention as for quantum coherent (almost a classic) states of the electromagnetic field and for photonics Fock states. Attention is drawn to the fact of absence the power of the universal content of s

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35

Omugbe, E., O. E. Osafile, and I. B. Okon. "WKB Energy Expression for the Radial Schrödinger Equation with a Generalized Pseudoharmonic Potential." Asian Journal of Physical and Chemical Sciences, May 11, 2020, 13–20. http://dx.doi.org/10.9734/ajopacs/2020/v8i230112.

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In this paper, we applied the semi-classical quantization approximation method to solve the radial Schrödinger equation with a generalized Pseudoharmonic potential. The four turning points problem within the framework of the Wentzel-Kramers-Brillouin (WKB) method was transformed into two turning points and subsequently, the energy spectrum was obtained. Some special cases of the generalized Pseudoharmonic potential are presented. The WKB approximation approach reproduces the exact energy expression obtained with several analytical methods in the literature. The values of the energy levels for

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36

Campolongo, Andrea, and Giovanni Montani. "Specific entropy as a clock for the evolutionary quantization of the isotropic Universe." European Physical Journal C 80, no. 10 (2020). http://dx.doi.org/10.1140/epjc/s10052-020-08544-0.

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AbstractIn this paper, we analyze the dynamics of an isotropic closed Universe in presence of a cosmological constant term and we compare its behavior in the standard Wheeler–DeWitt equation approach with the one when a Lagrangian fluid is considered in the spirit of the Kuchar–Brown paradigm. In particular, we compare the tunnelling of the Universe from the classically forbidden region to the allowed one, showing that considering a time evolution deeply influences the nature of the model. In fact, we show that in the presence of the Lagrangian fluid, the cosmological singularity is restored b

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37

Banerjee, Sibasish, Jakub Jankowski, and Piotr Sułkowski. "Revisiting the Melvin-Morton-Rozansky expansion, or there and back again." Journal of High Energy Physics 2020, no. 12 (2020). http://dx.doi.org/10.1007/jhep12(2020)095.

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Abstract Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials, superpolynomials, and newly introduced $$ \hat{Z} $$ Z ̂ invariants for some knot complements, from an appropriate rewriting, quantization and deformation of Alexander polynomial. Along this route we rederive conjectural expressions for the above mentioned invariants for various knots obtained recently, thereby proving their consistency with the Melv

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38

Baiguera, Stefano, Troels Harmark, and Nico Wintergerst. "Nonrelativistic near-BPS corners of $$ \mathcal{N} $$ = 4 super-Yang-Mills with SU(1, 1) symmetry." Journal of High Energy Physics 2021, no. 2 (2021). http://dx.doi.org/10.1007/jhep02(2021)188.

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Abstract We consider limits of $$ \mathcal{N} $$ N = 4 super Yang-Mills (SYM) theory that approach BPS bounds and for which an SU(1,1) structure is preserved. The resulting near-BPS theories become non-relativistic, with a U(1) symmetry emerging in the limit that implies the conservation of particle number. They are obtained by reducing $$ \mathcal{N} $$ N = 4 SYM on a three-sphere and subsequently integrating out fields that become non-dynamical as the bounds are approached. Upon quantization, and taking into account normal-ordering, they are consistent with taking the appropriate limits of t

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39

Schellekens, Vincent, and Laurent Jacques. "Breaking the waves: asymmetric random periodic features for low-bitrate kernel machines." Information and Inference: A Journal of the IMA, May 11, 2021. http://dx.doi.org/10.1093/imaiai/iaab008.

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Abstract Many signal processing and machine learning applications are built from evaluating a kernel on pairs of signals, e.g., to assess the similarity of an incoming query to a database of known signals. This nonlinear evaluation can be simplified to a linear inner product of the random Fourier features (RFFs) of those signals: random projections followed by a periodic map, the complex exponential. It is known that a simple quantization of those features (corresponding to replacing the complex exponential by a different periodic map that takes binary values, which is appealing for their tran

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40

Azeez, Laith. "Qurain AL-Thamad Valley Hydrological Aspects Extraction Using Remote Sensing and GIS Techniques." Iraqi Journal of Science, October 28, 2019, 2280–87. http://dx.doi.org/10.24996/ijs.2019.60.10.22.

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In the arid to semi-arid lands the extracted hydrological features are essential ones, since their effect on water projects managing, agricultural projects administrating, and animals grazing, so that this research is considered to be vital research because the climate of Qurain AL-Thamad basin is arid climate and basin region inhabited by many tribes who works in agricultural and grazing fields. The illustration of hydrological features using morphometric analyses is optimum since the quantization issue of basin factors, in the past this would be difficult using classical procedures (i.e. usi

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