A uniqueness theorem for higher order anharmonic oscillators

DOI10.4171/JST/96zbMath1319.47016arXiv1309.2141OpenAlexW2591887072MaRDI QIDQ2515796

Søren Fournais, Mikael Persson Sundqvist

Publication date: 6 August 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2141

zbMATH Keywords

spectral parameteranharmonic oscillatoreigenvalue estimation

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Magnetic WKB constructions ⋮ Optimal magnetic Sobolev constants in the semiclassical limit ⋮ Lack of diamagnetism and the Little-Parks effect ⋮ Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field ⋮ Lowest energy band function for magnetic steps

Cites Work

• Semiclassical analysis with vanishing magnetic fields
• Spectral properties of higher order anharmonic oscillators
• Hearing the zero locus of a magnetic field
• Harmonic oscillators with Neumann condition on the half-line
• Lack of diamagnetism and the Little-Parks effect
• Strong diamagnetism for the ball in three dimensions
• Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
• Spectral gaps for periodic Schr\"odinger operators with hypersurface magnetic wells
• The Montgomery model revisited
• Magnetic bottles in connection with superconductivity

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