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On the Existence and Uniqueness of Ground States of the Spin-Boson Hamiltonian
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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