|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Ground States of a General Class of Quantum Field Hamiltonians
| Title: | Ground States of a General Class of Quantum Field Hamiltonians |
| Authors: | Arai, Asao Browse this author →KAKEN DB | | Hirokawa, Masao Browse this author |
| Keywords: | massless quantum field | | Fock space | | infrared problem | | generalized spin-boson model | | ground state | | ground-state energy | | MSC=81Q10 | | MSC=47B25 | | MSC=47N50 |
| Issue Date: | Aug-2000 |
| Publisher: | World Scientific Publishing Company |
| Journal Title: | Reviews in Mathematical Physics |
| Volume: | 12 |
| Issue: | 8 |
| Start Page: | 1085 |
| End Page: | 1135 |
| Publisher DOI: | 10.1142/S0129055X00000393 |
| 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 Hamiltonian H(ν) with a parameter ν ≥ 0 such that H = H(0) is the Hamiltonian of the original model. We clarify a relation between ground states of H(ν) and those of H by formulating sufficient conditions under which weak limits, as ν → 0, of the ground states of H(ν)'s are those of H. We also establish existence theorems on ground states of H(ν) and H under weaker conditions than in the previous paper mentioned above. |
| Rights: | Electronic version of an article published as Reviews in Mathematical Physics, Vol. 12, Issue 8, 2000, pp. 1085-1135, DOI: 10.1142/S0129055X00000393 © World Scientific Publishing Company, http://www.worldscinet.com/rmp/rmp.shtml |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38267 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 新井 朝雄
|
