N. M. Atakishiyev, Sh. M. Nagiyev, K. B. Wolf, “Wigner distribution functions for a relativistic linear oscillator”, TMF, 114:3 (1998), 410–425; Theoret. and Math. Phys., 114:3 (1998), 322

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 3, Pages 410–425
DOI: https://doi.org/10.4213/tmf849 (Mi tmf849)

This article is cited in 12 scientific papers (total in 12 papers)

Wigner distribution functions for a relativistic linear oscillator

N. M. Atakishiyev^a, Sh. M. Nagiyev^b, K. B. Wolf^c

^a National Autonomous University of Mexico, Institute of Mathematics
^b Institute of Physics Azerbaijan Academy of Sciences
^c National Autonomous University of Mexico, Center of Physical Sciences

Full-text PDF (347 kB) Citations (12)

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DOI: https://doi.org/10.4213/tmf849

Abstract: We construct the Wigner representation for a relativistic model of the linear harmonic oscillator governed by a finite-difference equation. We find Wigner functions for the stationary states, the thermodynamic equilibrium states, and the coherent states. We examine their nonrelativistic limits and the high and low temperature limits for the equilibrium states. We compute the mean values of the position and momentum coordinates for these Wigner functions.

Received: 21.07.1997

English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 3, Pages 322–334
DOI: https://doi.org/10.1007/BF02575445

Bibliographic databases:

Language: Russian

Citation: N. M. Atakishiyev, Sh. M. Nagiyev, K. B. Wolf, “Wigner distribution functions for a relativistic linear oscillator”, TMF, 114:3 (1998), 410–425; Theoret. and Math. Phys., 114:3 (1998), 322–334

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf849

https://doi.org/10.4213/tmf849

https://www.mathnet.ru/eng/tmf/v114/i3/p410

This publication is cited in the following 12 articles:

S. M. Nagiyev, A. M. Jafarova, E. I. Jafarov, “The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass”, Journal of Mathematical Physics, 65:1 (2024)
E. I. Jafarov, “Description of the Bluffing Phenomenon in the Untrusted Seller–Buyer Relationship via the Wigner Function of the q-Deformed Quantum Harmonic Oscillator Model”, Studies in Microeconomics, 2024
Sh. M. Nagiyev, R. M. Mir-Kasimov, “Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green's function”, Theoret. and Math. Phys., 214:1 (2023), 72–88
E. I. Jafarov, A. M. Jafarova, S. M. Nagiyev, “The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass”, Int. J. Mod. Phys. B, 36:31 (2022)
Sh. M. Nagiyev, R. M. Mir-Kassimov, “Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group”, Theoret. and Math. Phys., 208:3 (2021), 1265–1276
Sh. M. Nagiyev, “Using the evolution operator method to describe a particle in a homogeneous alternating field”, Theoret. and Math. Phys., 194:2 (2018), 313–327
Sh. M. Nagiyev, “Wigner function of a relativistic particle in a time-dependent linear potential”, Theoret. and Math. Phys., 188:1 (2016), 1030–1037
Nagiyev, SM, “The Wigner function of the relativistic finite-difference oscillator in an external field”, Journal of Physics A-Mathematical and Theoretical, 42:45 (2009), 454015
V. V. Borzov, E. V. Damaskinskii, “Charlier Polynomials and Charlier Oscillator as Discrete Realization of the Harmonic Oscillator”, J Math Sci, 128:5 (2005), 3161
V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for oscillators connected with Meixner and Meixner–Pollachek polynomials”, J. Math. Sci. (N. Y.), 136:1 (2006), 3564–3579
Borzov V.V., Damaskinsky E.V., “Generalized Coherent States for oscillator connected with Meixner Polynomials”, Days on Diffraction 2004, Proceedings, 2004, 35–42
Frank, A, “Wigner function of Morse potential eigenstates”, Physical Review A, 61:5 (2000), 054102

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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