中国物理B ›› 2002, Vol. 11 ›› Issue (6): 553-560.doi: 10.1088/1009-1963/11/6/307

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Multi-mode q-oscillator algebras with q2(k+1)=1 and related thermo field dynamics

高亚军   

  1. Department of Physics, Jinzhou Teachers College, Jinzhou 121003, China
  • 收稿日期:2001-07-06 修回日期:2002-01-06 出版日期:2002-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Key Science Foundation from Education Commission of Liaoning Province, China (Grant No 990411013).

Multi-mode q-oscillator algebras with q2(k+1)=1 and related thermo field dynamics

Gao Ya-Jun (高亚军)   

  1. Department of Physics, Jinzhou Teachers College, Jinzhou 121003, China
  • Received:2001-07-06 Revised:2002-01-06 Online:2002-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the Key Science Foundation from Education Commission of Liaoning Province, China (Grant No 990411013).

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摘要： A type of multi-mode q-oscillator algebra with q2(k+1)=1 is set up and the associated qk-thermo field dynamics is constructed for all k=1,2,…,∞ in a unified form. It is demonstrated that these qk-thermo field dynamics can all be nicely fitted into the algebraic formulation of statistical mechanics (axiomatized form for statistical physics). This means that we obtain infinitely many realizations of the algebraic scheme, which extend the consideration of Ojima [1981 Ann. Phys. 137 1] and contain the usual thermo field dynamics for the fermionic (k=1) and bosonic (k=∞) systems as special cases. As simple applications, the qk-statistical average of some operators are given.

Abstract: A type of multi-mode q-oscillator algebra with q2(k+1)=1 is set up and the associated qk-thermo field dynamics is constructed for all k=1,2,…,∞ in a unified form. It is demonstrated that these qk-thermo field dynamics can all be nicely fitted into the algebraic formulation of statistical mechanics (axiomatized form for statistical physics). This means that we obtain infinitely many realizations of the algebraic scheme, which extend the consideration of Ojima [1981 Ann. Phys. 137 1] and contain the usual thermo field dynamics for the fermionic (k=1) and bosonic (k=∞) systems as special cases. As simple applications, the qk-statistical average of some operators are given.

Key words: multi-mode qk-oscillator algebra, qk-thermo field dynamics, algebraic formulation of statistical mechanics

中图分类号:  (Static properties of condensates; thermodynamical, statistical, and structural properties)

  • 03.75.Hh
02.10.De (Algebraic structures and number theory) 05.30.Fk (Fermion systems and electron gas) 05.30.Jp (Boson systems)