Abstract
We consider a quantum system of non-interacting fermions at temperatureTin the framework of linear-response theory. We show that semiclassical theory is an appropriate framework for describing some of their thermodynamic properties, in particular through exact expansions inh (Planck constant) of their dynamical susceptibilities. We show how the orbits of the classical motion in phase space manifest themselves in these expansions, in the regime whereT is of orderh.
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Combescure, M., Robert, D. (2001). Semiclassical Results in the Linear Response Theory. In: Casacuberta, C., Miró-Roig, R.M., Verdera, J., Xambó-Descamps, S. (eds) European Congress of Mathematics. Progress in Mathematics, vol 202. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8266-8_35
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DOI: https://doi.org/10.1007/978-3-0348-8266-8_35
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