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Spectral Analysis of the Dirac Polaron
http://hdl.handle.net/10091/00019139
http://hdl.handle.net/10091/000191390f21fc60-75e0-49d9-af01-e02fe5e5410a
| 名前 / ファイル | ライセンス | アクション |
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Spectral_Analysis_Dirac_Polaron.pdf (213.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2016-09-06 | |||||||
| タイトル | ||||||||
| タイトル | Spectral Analysis of the Dirac Polaron | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| DOI | ||||||||
| 関連識別子 | https://doi.org/10.4171/PRIMS/135 | |||||||
| 関連名称 | 10.4171/PRIMS/135 | |||||||
| キーワード | ||||||||
| 主題 | quantum electrodynamics, ground state, Dirac polaron, Dirac operator | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | journal article | |||||||
| 著者 |
Sasaki, Itaru
× Sasaki, Itaru
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| 信州大学研究者総覧へのリンク | ||||||||
| 氏名 | Sasaki, Itaru | |||||||
| URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.HFAVjFkV.html | |||||||
| 出版者 | ||||||||
| 出版者 | Kyoto University, Research Institute for Mathematical Sciences 京都大学数理解析研究所 / European Mathematical Society | |||||||
| 引用 | ||||||||
| 内容記述 | PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 50(2):307-339 (2014) | |||||||
| 書誌情報 |
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 巻 50, 号 2, p. 307-339, 発行日 2014-06 |
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| 抄録 | ||||||||
| 内容記述 | A system of a Dirac particle interacting with the radiation field is considered. The Hamiltonian of the system is defined by H = alpha . ((p) over cap - qA((x) over cap)) + m beta + H-f, where q is an element of R is a coupling constant, A((x) over cap) the quantized vector potential and H-f the free photon Hamiltonian. Since the total momentum is conserved, H is decomposed with respect to the total momentum with fiber Hamiltonian H(p) (p is an element of R-3). Since the self-adjoint operator H(p) is bounded from below, one can define the lowest energy E(p, m) := inf sigma(H(p)). We prove that E(p,m) is an eigenvalue of H(p) under the following conditions: (i) infrared regularization and (ii) E(p,m) < E(p, 0). We also discuss polarization vectors and the angular momentums. | |||||||
| 資源タイプ（コンテンツの種類） | ||||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0034-5318 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00796798 | |||||||
| 権利 | ||||||||
| 権利情報 | © 2014 Research Institute for Mathematical Sciences, Kyoto University. | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | AM | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
| WoS | ||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000340319800007 | |||||||
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Cite as
Sasaki, Itaru, 2014, Spectral Analysis of the Dirac Polaron: Kyoto University, Research Institute for Mathematical Sciences 京都大学数理解析研究所 / European Mathematical Society, 307–339 p.
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