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 | |
| Publication status | Published - Nov 10 1999 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Analysis
Cite this
On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff. / Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio.
In: Journal of Functional Analysis, Vol. 168, No. 2, 10.11.1999, p. 470-497.Research output: Contribution to journal › Article
}
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
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.
UR - http://www.scopus.com/inward/record.url?scp=0001669618&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001669618&partnerID=8YFLogxK
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 -