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

被引：39

作者：

Arai, A ^{[1
]}

Hirokawa, M

Hiroshima, F

机构：

[1] Hokkaido Univ, Fac Sci, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] Okayama Univ, Fac Sci, Dept Math, Okayama 7008530, Japan

[3] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 168卷 / 02期

基金：

日本学术振兴会;

关键词：

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;

D O I：

10.1006/jfan.1999.3472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of models of quantized, massless Bose fields, called the generalized spin-boson model (A.Arai and M.Hirokawa, J. Funet. 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 Pome operators. (C) 1999 Academic Press.

引用

页码：470 / 497

页数：28

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