Title of article
On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff
Author/Authors
Arai، نويسنده , , Asao and Hirokawa، نويسنده , , Masao and Hiroshima، نويسنده , , Fumio، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
28
From page
470
To page
497
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.
Keywords
generalized spin-boson model , Eigenvector , ground state , particle-field interaction , spin-boson model , Pauli–Fierz model , correlation function , massless quantum field , Fock space , infrared problem
Journal title
Journal of Functional Analysis
Serial Year
1999
Journal title
Journal of Functional Analysis
Record number
1549557
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