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Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics
| Title: | Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | quantum electrodynamics | | polaron | | Dirac-Maxwell operator | | non-relativistic limit | | scalig limit | | Fock space |
| Issue Date: | 2006 |
| Publisher: | Springer |
| Journal Title: | Letters in Mathematical Physics |
| Volume: | 77 |
| Issue: | 3 |
| Start Page: | 283 |
| End Page: | 290 |
| Publisher DOI: | 10.1007/s11005-006-0098-y |
| Abstract: | A quantum system of a Dirac particle interacting with the quantum radiation field is considered in the case where no external potentials exist. Then the total momentum of the system is conserved and the total Hamiltonian is unitarily equivalent to the direct integral ∫⊕R3 H(p)dp of a family of self-adjoint operators H(p) acting in the Hilbert space ⊕4Frad, where Frad is the Hilbert space of the quantum radiation field. The fibre operator H(p) is called the Hamiltonian of the Dirac polaron with total momentum p ∈ R3. The main result of this paper is concerned with the non-relativistic (scaling) limit of H(p). It is proven that the non-relativistic limit of H(p) yields a self-adjoint extension of a Hamiltonian of a polaron with spin 1/2 in non-relativistic quantum electrodynamics. |
| Rights: | The original publication is available at www.springerlink.com |
| Relation: | http://www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/14748 |
| 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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