TY - JOUR
T1 - On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff
AU - Arai, Asao
AU - Hirokawa, Masao
AU - Hiroshima, Fumio
N1 - Funding Information:
The research carried out by M.H. is supported by the Grant-In-Aid 09740092 for science research from the Ministry of Education, Japan. F.H. thanks the Japan Society for the Promotion of Science (JSPS) for the financial support through the postdoctoral fellowship.
Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 1999/11/10
Y1 - 1999/11/10
N2 - 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.
AB - 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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U2 - 10.1006/jfan.1999.3472
DO - 10.1006/jfan.1999.3472
M3 - Article
AN - SCOPUS:0001669618
VL - 168
SP - 470
EP - 497
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 2
ER -