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

Asao Arai, Masao Hirokawa

研究成果: ジャーナルへの寄稿記事

80 引用 (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.

元の言語英語
ページ(範囲)455-503
ページ数49
ジャーナルJournal of Functional Analysis
151
発行部数2
DOI
出版物ステータス出版済み - 12 15 1997

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Bosons
Ground State
Existence and Uniqueness
Min-max Principle
Ground State Energy
Fock Space
Symmetric Spaces
Quantum Field Theory
Degeneracy
Asymptotic Formula
Tensor Product
Hilbert space
Model
Standards
Generalization

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用

On the existence and uniqueness of ground states of a generalized spin-boson model. / Arai, Asao; Hirokawa, Masao.

:: Journal of Functional Analysis, 巻 151, 番号 2, 15.12.1997, p. 455-503.

研究成果: ジャーナルへの寄稿記事

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