- 02-330 Monique Combescure and Didier Robert
- Semiclassical results in the linear response theory
Jul 28, 02
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Abstract. 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 $\hbar$.