The Free Energy of the Spin Boson Model

Raggio, G. A. (1988) The Free Energy of the Spin Boson Model. (Preprint)

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Abstract

For n spins coupled linearly to a boson field in a volume v_n, the existence of the specific free energy in the limit n→∞, v_n→∞, with n/v_n = const., is proved under specified conditions on the Hamiltonian. A variational expression is obtained for the limiting specific free energy, and a critical temperature is identified, above which the system behaves as if there were no coupling at all.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:17
Last Modified: 23 Jul 2018 13:19
URI: http://dair.dias.ie/id/eprint/795

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