Geometric spectral inversion for singular potentials

DOI10.1063/1.3657346zbMath1272.81061arXiv1111.1159OpenAlexW3099445755MaRDI QIDQ2851767

Wolfgang Lucha, Richard L. Hall

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1159

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Energy bounds for the spinless Salpeter equation
• GEOMETRIC SPECTRAL INVERSION
• Envelope theory in spectral geometry
• Dirac eigenvalues for screened Coulomb potentials
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
• Semiclassical energy formulae for power law and log potentials in quantum mechanics
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• Constructive inversion of energy trajectories in quantum mechanics
• An inversion inequality for potentials in quantum mechanics
• Convexity and potential sums for Salpeter-type Hamiltonians
• Schrödinger upper bounds to semirelativistic eigenvalues

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