On Schrödinger-Hermite operators in lattice quantum mechanics
type: Item
instance of: scholarly article
title: On Schrödinger-Hermite operators in lattice quantum mechanics
zbMATH Open document ID: 0933.39046
DOI: 10.1023/A:1007586819925
author: Andreas Ruffing
published in: Letters in Mathematical Physics
publication date: 2000-04-04T00:00:00Z
review text: A broad class of Schrödinger-Hermite operators in lattice quantum mechanics, starting from the \(q\)-Heisenberg algebra, is derived, for which one can determine explicit eigenvalues and spectral properties. A special case is obtained.
reviewed by: Costică Moroşanu
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 1331406
zbMATH Keywords: \(q\)-oscillators
zbMATH Keywords: spectrum
zbMATH Keywords: \(q\)-Heisenberg algebra
zbMATH Keywords: Schrödinger-Hermite quantum operators
zbMATH Keywords: lattice quantum mechanics
zbMATH Keywords: eigenvalues
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1331406