|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
| Title: | On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff |
| Authors: | Arai, A. Browse this author | | Hirokawa, M. Browse this author | | Hiroshima, F. Browse this author |
| Keywords: | massless quantum field | | Fock space | | infrared problem | | generalized spin-boson model | | ground state | | eigenvector | | correlation function | | particle-field interaction | | spin-boson model | | Pauli-Fierz model |
| Issue Date: | 1-Dec-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 440 |
| Start Page: | 1 |
| End Page: | 26 |
| Abstract: | A class of models of quantized, massless Bose fields, called the generalized spinboson model (A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455-503) is considered. Theorems on the absence of ground states and the other eigenvectors of the model without infrared cutoff (but with ultraviolet cutoff) are established with conditions in terms of correlation functions for some operators. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69190 |
| 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
|
