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Hokkaido University Preprint Series in Mathematics >
Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics
| Title: | Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics |
| Authors: | Arai, A. Browse this author |
| Keywords: | quantum electrodynamics | | Dirac operator | | Dirac-Maxwell operator | | PauliFierz Hamiltonian | | non-relativistic limit | | scalig limit | | Fock space | | strongly anticornmuting self-adjoint operators |
| Issue Date: | Dec-2001 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 544 |
| Start Page: | 1 |
| End Page: | 27 |
| Abstract: | The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac-Maxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the non-relativistic limit of H yields a self-adjoint extension of the Pauli-Fierz Hamiltonian with spin 1/2 in non-relativistic quantum electrodynamics. This is done by establishing in an abstract framework a general limit theorem on a family of self-adjoint operators partially formed out of strongly anticommuting self-adjoint operators and then by applying it to H. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69293 |
| 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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