New analytically solvable models of relativistic point interactions
type: Item
instance of: scholarly article
title: New analytically solvable models of relativistic point interactions
zbMATH Open document ID: 0646.60107
DOI: 10.1007/BF00401163
published in: Letters in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: Two new analytically solvable models of relativistic point interactions in one dimension (being natural extensions of the nonrelativistic \(\delta\), resp. \(\delta\) ', interactions) are considered. Their spectral properties in the case of finitely many point interactions as well as in the periodic case are fully analyzed. Moreover, we explicitly determine the spectrum in the case of independent, identically distributed random coupling constants and derive the analog of the \textit{D. S. Saxon} and \textit{R. A. Hutner} conjecture [Philos. Res. Rep. 4, 81 ff. (1949)] concerning gaps in the energy spectrum of such systems.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4054777
zbMATH Keywords: models of relativistic point interactions
zbMATH Keywords: finitely many point interactions
zbMATH Keywords: gaps in the energy spectrum
author: Fritz Gesztesy
author: Petr Šeba
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00401163
OpenAlex ID: W2059671624
description: scientific article; zbMATH DE number 4054777