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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, Asao Browse this author →KAKEN DB |
| Keywords: | quantum electrodynamics | | Dirac operator | | Dirac-Maxwell operator | | Pauli-Fierz Hamiltonian | | non-relativistic limit | | scalig limit | | Fock space | | strongly anticommuting self-adjoint operators |
| Issue Date: | May-2003 |
| Publisher: | World Scientific Publishing Company |
| Journal Title: | Reviews in Mathematical Physics |
| Volume: | 15 |
| Issue: | 3 |
| Start Page: | 245 |
| End Page: | 270 |
| Publisher DOI: | 10.1142/S0129055X0300162X |
| 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. |
| Rights: | Electronic version of an article published as Reviews in Mathematical Physics, Vol. 15, Issue 3, 2003, pp. 245-270, DOI: 10.1142/S0129055X0300162X © World Scientific Publishing Company, http://www.worldscinet.com/rmp/rmp.shtml |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38264 |
| 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)
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Submitter: 新井 朝雄
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