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

Asao Arai; Masao Hirokawa; Fumio Hiroshima

doi:10.1006/jfan.1999.3472

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

Asao Arai, Masao Hirokawa, Fumio Hiroshima

Research output: Contribution to journal › Article

35 Citations (Scopus)

Abstract

A class of models of quantized, massless Bose fields, called the generalized spin-boson 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.

Original language	English
Pages (from-to)	470-497
Number of pages	28
Journal	Journal of Functional Analysis
Volume	168
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1999.3472
Publication status	Published - Nov 10 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.1999.3472

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Arai, A., Hirokawa, M., & Hiroshima, F. (1999). On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff. Journal of Functional Analysis, 168(2), 470-497. https://doi.org/10.1006/jfan.1999.3472

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