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Grounds states of a general class of quantum field Hamiltonians

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83603

Title: Grounds states of a general class of quantum field Hamiltonians
Authors: Arai, A. Browse this author
Hirokawa, H. Browse this author
Keywords: massless quantum field
Fock space
infrared problem
generalized spin-boson model
ground state
ground-state energy
Issue Date: 1-May-1999
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 457
Start Page: 1
End Page: 55
Abstract: 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 Hamilt􀀺nian H(v) with a parameter v 2:: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69207
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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