Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS
Asao ARAI, Masao HIROKAWA, Fumio HIROSHIMA
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Keywords: ground states, number operators, boson Fock space, scattering theory, infrared divergence, generalized spin boson models
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2007 Volume 61 Issue 2 Pages 321-372

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Abstract

Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. Moreover, a sufficient condition for the absence of a ground state is given.

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© 2007 by Faculty of Mathematics, Kyushu University
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Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics

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