Thermo field dynamics of a quantum algebra and its application to the Anderson model

H. Matsumoto, Hiroomi Umezawa

E. Celeghini, DE MARTINO S., DE MARTINO S. +3 more

H. Matsumoto

Yoichiro Hashizume, Masuo Suzuki, Takashi Nakajima +1 more

高亚军

A type of multi-mode q-oscillator algebra with q^2(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.

Ya-Jun Gao

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.