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Hokkaido University Preprint Series in Mathematics >
Stability of ground states in sectors and its application to the Wigner-Weisskopf model
| Title: | Stability of ground states in sectors and its application to the Wigner-Weisskopf model |
| Authors: | Arai, A. Browse this author | | Hirokawa, M. Browse this author |
| Keywords: | Fock space | | Wigner-Weisskopf model | | ground state | | ground state energy | | stability | | conservation law | | first excited state |
| Issue Date: | 1-Mar-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 480 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | We consider two kinds of stability ( under a perturbation) of the ground state of a . self-adjoint operator: the one is concerned with the sector to which the ground state belongs and the other is about the uniqueness of the ground state. As an application to the Wigner-Weisskopf model which describes one mode fermion coupled to a quantum scalar field, we prove in the massive case the following: (a) For a value of the coupling constant, the Wigner-Weisskopf model has degenerate ground states ; (b) for a value of the coupling constant, the Wigner-Weisskopf model has a first excited state with energy level below the bottom of the essential spectrum. These phenomena are nonperturbative. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69230 |
| 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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