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

Arai, A.; Hirokawa, M.

Hokkaido University Preprint Series in Mathematics, 1996, 366, 1-40

Permalink : https://doi.org/10.14943/83512

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アクセス権	open access
DOI	https://doi.org/10.14943/83512
URI	https://hdl.handle.net/2115/69116
タイトル	On the existence and uniqueness of ground states of a generalized spin-boson model
著者	著者名 Arai, A.
著者	著者名 Hirokawa, M.
言語	英語
発行日	1996-12-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	366
ページ	1-40
抄録	A generalization of the standard spin-boson model is considered. The Hamiltonian H (a) of the model with a coupling parameter a E R acts in the tensor product 1-l ® :Fb of a Hilbert space 1-l and the boson (symmetric) Fack space :Fb over L2 (R11). The existence and uniqueness of ground states of H(a) are investigated. The degeneracy of the ground states is also discussed. The results obtained are nonperturbative. The methods used are those of constructive quantum field theory and the min-max principle. Also an exact asymptotic formula for the ground state energy of H(a) as lal → ∞ is established.
資源タイプ	紀要論文
出版タイプ	Version of Record