RELATIVISTIC QUANTUM STATISTICS IN THE WIGNER FORMALISM AND ITS APPLICATIONS TO THE TODA OSCILLATOR

被引:2
|
作者
HAMO, A
VOJTA, G
ZYLKA, C
机构
[1] Fachbereich Physik, Universität Leipzig, Leipzig, D-07010
来源
EUROPHYSICS LETTERS | 1991年 / 15卷 / 08期
关键词
QUANTUM STATISTICAL MECHANICS; THERMODYNAMIC FUNCTIONS AND EQUATIONS OF STATES; OTHER TOPICS IN RELATIVITY AND GRAVITATION;
D O I
10.1209/0295-5075/15/8/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Wigner-Kirkwood series expansion of equilibrium quantum statistics in the phase space formalism is generalized to include relativistic systems. For partition functions and all thermodynamic functions the series yields quantum corrections in terms of powers of H2BAR including systematic relativistic corrections given by modified Hankel functions K(y)(mc2/kT). An application to the symmetric relativistic quantum Toda oscillator is sketched.
引用
收藏
页码:809 / 813
页数:5
相关论文
共 50 条
  • [1] QUANTUM STATISTICS OF THE TODA OSCILLATOR IN THE WIGNER FUNCTION FORMALISM
    VOJTA, G
    VOJTA, M
    ANNALEN DER PHYSIK, 1988, 45 (08) : 614 - 625
  • [2] Wigner dynamics of quantum semi-relativistic oscillator
    Larkin, A. S.
    Filinov, V. S.
    PHYSICS LETTERS A, 2013, 377 (16-17) : 1171 - 1178
  • [3] QUANTUM RELATIVISTIC OSCILLATOR - MODIFYING THE HAMILTONIAN-FORMALISM OF THE RELATIVISTIC STRING
    BOHM, A
    LOEWE, M
    MAGNOLLAY, P
    PHYSICAL REVIEW D, 1985, 31 (09): : 2304 - 2315
  • [4] The relativistic oscillator algebra revisited in the quantum groups formalism
    Scarfone, A. M.
    Swamy, P. Narayana
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22 (32): : 6169 - 6181
  • [5] 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)
  • [6] THE WIGNER-WEYL FORMALISM AND THE RELATIVISTIC SEMICLASSICAL APPROXIMATION
    MOURAD, J
    PHYSICS LETTERS A, 1993, 179 (4-5) : 231 - 234
  • [7] Wigner distribution functions for a relativistic linear oscillator
    Atakishiyev, NM
    Nagiyev, SM
    Wolf, KB
    THEORETICAL AND MATHEMATICAL PHYSICS, 1998, 114 (03) : 322 - 334
  • [8] Wigner distribution functions for a relativistic linear oscillator
    N. M. Atakishiyev
    Sh. M. Nagiyev
    K. B. Wolf
    Theoretical and Mathematical Physics, 1998, 114 : 322 - 334
  • [9] CANONICAL FORMALISM FOR THE RELATIVISTIC HARMONIC-OSCILLATOR
    DULLEMOND, C
    VANBEVEREN, E
    PHYSICAL REVIEW D, 1983, 28 (04): : 1028 - 1032
  • [10] Physical interpretation of the Wigner rotations and its implications for relativistic quantum information
    Saldanha, Pablo L.
    Vedral, Vlatko
    NEW JOURNAL OF PHYSICS, 2012, 14