Wigner distribution functions for a relativistic linear oscillator

被引：0
|
作者：
N. M. Atakishiyev
Sh. M. Nagiyev
K. B. Wolf
机构：
[1] Universidad Nacional Autónoma de México,Instituto de Matemáticas
[2] Azerbaijan Academy of Sciences,Institute for Physics
来源：
Theoretical and Mathematical Physics | 1998年 / 114卷
关键词：
Coherent State; Wigner Function; Nonrelativistic Limit; Nonrelativistic Case; Nonrelativistic Quantum Mechanic;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：322 / 334
页数：12
相关论文
共 50 条
  • [41] Quantum Dynamical Behavior of the Morse Oscillator: the Wigner Function Approach
    Abdul Jalal
    Shahid Iqbal
    Journal of Russian Laser Research, 2018, 39 : 544 - 551
  • [42] Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green's function
    Nagiyev, Sh. M.
    Mir-Kasimov, R. M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2023, 214 (01) : 72 - 88
  • [43] Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function
    Sh. M. Nagiyev
    R. M. Mir-Kasimov
    Theoretical and Mathematical Physics, 2023, 214 : 72 - 88
  • [44] Quantum gates and protocols with spherical wigner functions
    Kálmán, O
    Benedict, MG
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2005, 3 (03) : 501 - 509
  • [45] The Wigner-Vlasov formalism for time-dependent quantum oscillator
    Perepelkin, E. E.
    Sadovnikov, B., I
    Inozemtseva, N. G.
    Korepanova, A. A.
    PHYSICA SCRIPTA, 2023, 98 (10)
  • [46] Relativistic Sturmian basis functions
    John Avery
    Frank Antonsen
    Journal of Mathematical Chemistry, 1998, 24 : 175 - 185
  • [47] Wigner functions for the Landau problem in noncommutative quantum mechanics
    Dulat, S.
    Li, Kang
    Wang, Jianhua
    THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 167 (02) : 628 - 635
  • [48] Wigner functions for the Landau problem in noncommutative quantum mechanics
    S. Dulat
    Kang Li
    Jianhua Wang
    Theoretical and Mathematical Physics, 2011, 167 : 628 - 635
  • [49] Generalized Wigner functions for damped systems in deformation quantization
    Heng Tai-Hua
    Jing Si-Cong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (02) : 255 - 260
  • [50] Wigner Distribution of Accelerated TripartiteW-state
    Abd-Rabbou, M. Y.
    Metwally, N.
    Ahmed, M. M. A.
    Obada, A-S F.
    OPTIK, 2020, 208
12345