On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
type: Item
instance of: scholarly article
title: On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
zbMATH Open document ID: 0997.47061
author: Asao Arai
author: Masao Hirokawa
author: Fumio Hiroshima
published in: Journal of Functional Analysis
publication date: 2002-11-05T00:00:00Z
full work available at URL: http://hdl.handle.net/2115/69190
review text: In a class of models of quantized boson fields introduced by the first two authors [J. Funct. Anal. 151, No. 2, 455-503 (1997; Zbl 0898.47048)] the absence of point spectrum of the Hamiltonians in the models without infrared cutoff but with ultraviolet cutoff are established under certain sets of assumptions.
Mathematics Subject Classification ID: 47L90
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 1389445
zbMATH Keywords: Fock space
zbMATH Keywords: spin-boson model
zbMATH Keywords: eigenvector
zbMATH Keywords: point spectrum
zbMATH Keywords: Hamiltonians
zbMATH Keywords: infrared cutoff
zbMATH Keywords: ultraviolet cutoff
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
OpenAlex ID: W2022593237
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DOI: 10.1006/JFAN.1999.3472
description: scientific article; zbMATH DE number 1389445