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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83626

Title: Stability of ground states in sectors and its application to the Wigner-Weisskopf model
Authors: Arai, A. Browse this author
Hirokawa, M. Browse this author
Keywords: Fock space
Wigner-Weisskopf model
ground state
ground state energy
stability
conser­vation law
first excited state
Issue Date: 1-Mar-2000
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 480
Start Page: 1
End Page: 16
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69230
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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