HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff

Files in This Item:
pre440.pdf1.09 MBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83586

Title: On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
Authors: Arai, A. Browse this author
Hirokawa, M. Browse this author
Hiroshima, F. Browse this author
Keywords: massless quantum field
Fock space
infrared problem
generalized spin-boson model
ground state
eigenvector
correlation function
particle-field interaction
spin-boson model
Pauli-Fierz model
Issue Date: 1-Dec-1998
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 440
Start Page: 1
End Page: 26
Abstract: A class of models of quantized, massless Bose fields, called the generalized spin­boson 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69190
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University