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

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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 languageEnglish
Pages (from-to)470-497
Number of pages28
JournalJournal of Functional Analysis
Volume168
Issue number2
DOIs
Publication statusPublished - Nov 10 1999
Externally publishedYes

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Quantum Fields
Eigenvector
Infrared
Ultraviolet
Bosons
Ground State
Correlation Function
Model
Operator
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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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.",
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