Quantum Analysis and Nonequilibrium Response : Condensed Matter and Statistical Physics
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The quantum derivatives of e^<-A>, A^<-1> and log A, which play a basic role in quantum statistical physics, are derived and their convergence is proven for an unbounded positive operator A in a Hilbert space. Using the quantum analysis based on these quantum derivatives, a basic equation for the entropy operator in nonequilbrium systems is derived, and Zubarev's theory is extended to infinite order with respect to a perturbation. Using the first-order term of this general perturbational expansion of the entropy operator, Kubo's linear response is rederived and expressed in terms of the inner derivation σ_H for the relevant Hamiltonian H. Some remarks on the conductivity σ(ω) are given.
- 理論物理学刊行会の論文
- 1998-09-25
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