Semiclassical results in the linear response theory

Details Semiclassical results in the linear response theory Semiclassical results in the linear response theory

2002-11-21

arxiv.org/abs/math-ph/0211053v1

Physics

Mathematical Physics

Scientific paper

10.1016/S0003-4916(03)00041-1

We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in particular through asymptotic expansions in $\hbar$ (Planck constant) of the dynamical susceptibilities. We show how the closed orbits of the classical motion in phase space manifest themselves in these expansions, in the regime where T is of the order of $\hbar$.

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