An inverse problem in quantum field theory and canonical correlation functions

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)337-369
ページ数33
ジャーナルJournal of the Mathematical Society of Japan
51
2
DOI
出版ステータス出版済み - 1 1 1999
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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