MISC

2001年4月

Stability of ground states in sectors and its application to the Wigner-Weisskopf model

REVIEWS IN MATHEMATICAL PHYSICS
  • A Arai
  • ,
  • M Hirokawa

13
4
開始ページ
513
終了ページ
528
記述言語
英語
掲載種別
書評論文,書評,文献紹介等
出版者・発行元
WORLD SCIENTIFIC PUBL CO PTE LTD

We consider two kinds of stability (under a perturbation) of the ground state of a self-adjoint operator: the one is concerned with the sector to which the ground state belongs and the other is about the uniqueness of the ground state. As an application to the Wigner-Weisskopf model which describes one mode fermion coupled to a quantum scalar field, we prove in the massive case the following: (a) For a value of the coupling constant, the Wigner-Weisskopf model has degenerate ground states; (b) for a value of the coupling constant, the Wigner-Weisskopf model has a first excited state with energy level below the bottom of the essential spectrum. These phenomena are nonperturbative.

Web of Science ® 被引用回数 : 4

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000168776000003&DestApp=WOS_CPL

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