On the existence and uniqueness of ground states of a generalized spin-boson model

Asao Arai, Masao Hirokawa

研究成果: Contribution to journalArticle査読

87 被引用数 (Scopus)

抄録

A generalization of the standard spin-boson model is considered. The HamiltonianH(α) of the model with a coupling parameterα∈Racts in the tensor product H⊕Fbof a Hilbert space H and the boson (symmetric) Fock space FboverL2(Rν). The existence and uniqueness of ground states ofH(α) are investigated. The degeneracy of the ground states is also discussed. The results obtained arenonperturbative. The methods used are those of constructive quantum field theory and the min-max principle. An exact asymptotic formula for the ground state energy ofH(α) as |α|→∞ is also established.

本文言語英語
ページ(範囲)455-503
ページ数49
ジャーナルJournal of Functional Analysis
151
2
DOI
出版ステータス出版済み - 12 15 1997
外部発表はい

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