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Hokkaido University Preprint Series in Mathematics >
Ground states of a model in quantum electrodynamics
| Title: | Ground states of a model in quantum electrodynamics |
| Authors: | Hiroshima, F. Browse this author |
| Issue Date: | 1-Sep-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 428 |
| Start Page: | 1 |
| End Page: | 48 |
| Abstract: | The system of one charged non-relativistic particle with a class of external potentials minimally coupled to a massless quantized radiation field without the dipole approximation is considered. An ultraviolet cut-off is imposed on the quantized radiation field, the charged particle has spin 1/2 and the class of external potentials contains the Coulomb potential. It is shown that the ground states of the system exist provided that a coupling constant is in a region, and an expression of the ground state energy of the system is given by a functional integral containing a vector-v,1.lucd stochastic integral. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69178 |
| 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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