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On the existence and uniqueness of ground states of a generalized spin-boson model

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83512

Title: On the existence and uniqueness of ground states of a generalized spin-boson model
Authors: Arai, A. Browse this author
Hirokawa, M. Browse this author
Issue Date: 1-Dec-1996
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 366
Start Page: 1
End Page: 40
Abstract: A generalization of the standard spin-boson model is considered. The Hamil­tonian H (a) of the model with a coupling parameter a E R acts in the tensor product 1-l ® :Fb of a Hilbert space 1-l and the boson (symmetric) Fack space :Fb over L2 (R11). The existence and uniqueness of ground states of H(a) are investigated. The degeneracy of the ground states is also discussed. The results obtained are nonperturbative. The methods used are those of constructive quantum field theory and the min-max principle. Also an exact asymptotic formula for the ground state energy of H(a) as lal → ∞ is established.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69116
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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