Two-Sided Estimates for the Internal Energy of Thermal Photons

M. Corgini^a, D. P. Sankovich<sup>b

a</sup> Universidad de La Serena
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The upper- and lower-bound estimates for the thermodynamic averages of the occupation number operators are obtained for the case of a nonlinear photon system in thermal equilibrium with the thermostat. Two-sided inequalities for the internal energy of such a system are constructed from the obtained estimates.

Keywords: photon, Gibbs state, inner product, occupation numbers, Fock representation.

Received: 26.09.2002

DOI: 10.4213/tmf208

 English version: Theoretical and Mathematical Physics, 2003, 136:1, 1031–1036

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