Abstract
In this paper, we treat a quantum harmonic oscillator in thermal equilibrium with any systems in certain classes of bosons with infinitely many degrees of freedom. We describe the following results: (i) when a canonical correlation function is given, we so reconstmct a Hamiltonian by the rotating wave approximation from it that the Hamiltonian restores it. Namely, we solve an inverse problem in the quantum field theory at finite temperature in a finite volume. (ii) Taking an infinite volume limit for the result in (i), we consider long-time behavior of the canonical correlation function in the finite volume limit.
Citation
Masao HIROKAWA. "An inverse problem in quantum field theory and canonical correlation functions." J. Math. Soc. Japan 51 (2) 337 - 369, April, 1999. https://doi.org/10.2969/jmsj/05120337
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