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April, 1999 An inverse problem in quantum field theory and canonical correlation functions
J. Math. Soc. Japan 51(2): 337-369 (April, 1999). DOI: 10.2969/jmsj/05120337


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.


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Masao HIROKAWA. "An inverse problem in quantum field theory and canonical correlation functions." J. Math. Soc. Japan 51 (2) 337 - 369, April, 1999.


Published: April, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0927.46055
MathSciNet: MR1674753
Digital Object Identifier: 10.2969/jmsj/05120337

Primary: 82B10
Secondary: 46N50 , 47D40 , 47N50 , 47N55 , 82C22

Keywords: finite temperature , infinite volume limit , inverse problem , Quantum field theory , rotating wave approximation

Rights: Copyright © 1999 Mathematical Society of Japan

Vol.51 • No. 2 • April, 1999
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