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 reconstruct 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.
Original language | English |
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Pages (from-to) | 337-369 |
Number of pages | 33 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 51 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jan 1 1999 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)