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Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics

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タイトル: Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics
著者: Arai, Asao 著作を一覧する
キーワード: quantum electrodynamics
polaron
Dirac-Maxwell operator
non-relativistic limit
scalig limit
Fock space
発行日: 2006年
出版者: Springer
誌名: Letters in Mathematical Physics
巻: 77
号: 3
開始ページ: 283
終了ページ: 290
出版社 DOI: 10.1007/s11005-006-0098-y
抄録: 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 (URI): http://www.springerlink.com
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/14748
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 新井 朝雄

 

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