The Montgomery model revisited
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Publication:5306759
DOI10.4064/cm118-2-3zbMath1207.34110OpenAlexW2329555561MaRDI QIDQ5306759
Publication date: 9 April 2010
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm118-2-3
spectral theorysemi-classical analysisharmonic oscillatorMontgomery operatorSchrodinger operator with magnetic fields
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Breaking a magnetic zero locus: model operators and numerical approach ⋮ Breaking a magnetic zero locus: Asymptotic analysis ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Spectral properties of higher order anharmonic oscillators ⋮ The Ginzburg-Landau functional with vanishing magnetic field ⋮ Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\) ⋮ Superconductivity between \(H_{C_2}\) and \(H_{C_3}\) ⋮ Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field ⋮ A uniqueness theorem for higher order anharmonic oscillators ⋮ On the semiclassical Laplacian with magnetic field having self-intersecting zero set ⋮ On the spectrum of an anharmonic oscillator ⋮ Lowest energy band function for magnetic steps
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