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Hokkaido University Preprint Series in Mathematics >
Grounds states of a general class of quantum field Hamiltonians
| Title: | Grounds states of a general class of quantum field Hamiltonians |
| Authors: | Arai, A. Browse this author | | Hirokawa, H. Browse this author |
| Keywords: | massless quantum field | | Fock space | | infrared problem | | generalized spin-boson model | | ground state | | ground-state energy |
| Issue Date: | 1-May-1999 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 457 |
| Start Page: | 1 |
| End Page: | 55 |
| Abstract: | We consider a model of a quantum mechanical system coupled to a (massless) Bose field, called the generalized spin-boson model ( A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455-503), without infrared regularity condition. We define a regularized Hamiltnian H(v) with a parameter v 2:: 0 such that H = H(0) is the Hamiltonian of the original model. We clarify a relation between ground states of H(v) and those of H by formulating sufficient conditions under which weak limits, as v---+ 0, of the ground states of H(v )'s are those of H. We also establish existence theorems on ground states of H(v) and H under weaker conditions than in the previous paper mentioned above. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69207 |
| 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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