ON THE SPECTRUM AND THE LOWEST EIGENVALUE OF CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS

DOI10.2206/kyushujm.58.277zbMath1134.34336OpenAlexW2103297180MaRDI QIDQ4660370

Alberto Parmeggiani

Publication date: 21 March 2005

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.58.277

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (10)

Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation ⋮ Non-commutative harmonic oscillators and related problems ⋮ On the spectrum of certain noncommutative harmonic oscillators ⋮ On the essential spectrum of certain non-commutative oscillators ⋮ Subelliptic estimates for overdetermined systems of quadratic differential operators ⋮ On the spectral zeta function for the noncommutative harmonic oscillator ⋮ On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis ⋮ Non-commutative Harmonic Oscillators ⋮ Zeta functions for the spectrum of the non-commutative harmonic oscillators ⋮ Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

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