Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation
type: Item
instance of: scholarly article
title: Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation
zbMATH Open document ID: 1278.34099
author: Masato Wakayama
published in: Proceedings of the Japan Academy. Series A
publication date: 2013-10-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1370004861
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 34M05
Mathematics Subject Classification ID: 81S05
zbMATH DE Number: 6214245
zbMATH Keywords: non-commutative harmonic oscillators
zbMATH Keywords: lowest eigenvalue
zbMATH Keywords: multiplicity of eigenvalues
zbMATH Keywords: oscillator representation
zbMATH Keywords: Heun's differential equation
zbMATH Keywords: Riemann's scheme
Wikidata QID: Q115219885
MaRDI profile type: Publication
OpenAlex ID: W2043689877
cites work: Q3426042
cites work: The Dicke-type crossings among eigenvalues of differential operators in a class of non-commutative oscillators
cites work: Multiplicity of the lowest eigenvalue of non-commutative harmonic oscillators
cites work: Zeta functions for the spectrum of the non-commutative harmonic oscillators
cites work: On the spectral zeta function for the noncommutative harmonic oscillator
cites work: Q5421732
cites work: Q5418232
cites work: A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator
cites work: VERIFIED NUMERICAL COMPUTATIONS FOR EIGENVALUES OF NON-COMMUTATIVE HARMONIC OSCILLATORS
cites work: Non-commutative harmonic oscillators and Fuchsian ordinary differential operators
cites work: Non-commutative harmonic oscillators and the connection problem for the Heun differential equation
cites work: ON THE SPECTRUM AND THE LOWEST EIGENVALUE OF CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS
cites work: On the spectrum of certain noncommutative harmonic oscillators
cites work: On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis
cites work: Spectral theory of non-commutative harmonic oscillators: an introduction
cites work: On the essential spectrum of certain non-commutative oscillators
cites work: Oscillator representations and systems of ordinary differential equations
cites work: Non-commutative harmonic oscillators-I
cites work: Non-commutative harmonic oscillators-II
cites work: Q4857337
cites work: THE HEAT SEMIGROUP AND KERNEL ASSOCIATED WITH CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS
cites work: Q3655906
DOI: 10.3792/PJAA.89.69
description: scientific article; zbMATH DE number 6214245