HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

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

Files in This Item:
pre309.pdf834.64 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83456

Title: On the Existence and Uniqueness of Ground States of the Spin-Boson Hamiltonian
Authors: Arai, A. Browse this author
Hirokawa, M. Browse this author
Issue Date: 1-Sep-1995
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 309
Start Page: 2
End Page: 20
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69060
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University