On the Existence and Uniqueness of Ground States of the Spin-Boson Hamiltonian

Arai, A.; Hirokawa, M.

Hokkaido University Preprint Series in Mathematics, 1995, 309, 2-20

Permalink : https://doi.org/10.14943/83456

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DOI	https://doi.org/10.14943/83456
URI	https://hdl.handle.net/2115/69060
タイトル	On the Existence and Uniqueness of Ground States of the Spin-Boson Hamiltonian
著者	著者名 Arai, A.
著者	著者名 Hirokawa, M.
言語	英語
発行日	1995-09-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	309
ページ	2-20
抄録	The existence and uniqueness of ground states of the spin-boson Hamiltonian HsB are considered. The main results in the case of massive bosons include: (i)(existence) there exists a ground state without restriction for the strength of the coupling constant ; (ii)(uniqueness) under a mild (nonperturbative) condition for the parameters contained in HsB, HsB has only one ground state; (iii) (degeneracy) under a certain condition for the parameters of HsB which is weaker than that of (ii), the number of the ground states is at most two. In the case of massless bosons, the existence of a ground state of H SB is shown as a limit of ground states of the massive case. The methods used are nonperturbative.
資源タイプ	紀要論文
出版タイプ	Version of Record