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Stability of Discrete Ground State

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Title: Stability of Discrete Ground State
Authors: Miyao, Tadahiro Browse this author
Sasaki, Itaru Browse this author
Keywords: Ground state
discrete ground state
generalized spinboson model
Fock space
Dereziński-Gérard model.
Issue Date: 14-Sep-2004
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 663
Start Page: 1
End Page: 29
Abstract: We present new criteria for a self-adjoint operator to have a ground state. As an application, we consider models of ``quantum particles'' coupled to a massive Bose field and prove the existence of a ground state of them, where the particle Hamiltonian does not necessarily have compact resolvent.
Type: bulletin (article)
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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