✦ LIBER ✦

On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff

✍ Scribed by Asao Arai; Masao Hirokawa; Fumio Hiroshima

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 201 KB
Volume: 168
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3472

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✦ Synopsis

A class of models of quantized, massless Bose fields, called the generalized spinboson model (A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455 503) is considered. Theorems on the absence of ground states and the other eigenvectors of the model without infrared cutoff (but with ultraviolet cutoff ) are established with conditions in terms of correlation functions for some operators.

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