MISC

2000年8月

Ground states of a general class of quantum field Hamiltonians

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

12
8
開始ページ
1085
終了ページ
1135
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 a model of a quantum mechanical system coupled to a (massless) Bose field, called the generalized spin-boson model (A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455-503), without infrared regularity condition. We define a regularized Hamiltonian H(v) with a parameter v greater than or equal to 0 such that H = H(0) is the Hamiltonian of the original model. We clarify a relation between ground states of H(v) and those of H by formulating sufficient conditions under which weak limits, as v --> 0, of the ground states of H(v)'s are those of H. We also establish existence theorems on ground states of H(v) and H under weaker conditions than in the previous paper mentioned above.

Web of Science ® 被引用回数 : 29

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Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000165169600002&DestApp=WOS_CPL

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