Spectral analysis and stability properties of a relativistic deformation of the harmonic oscillator

DOI10.1063/1.530315zbMath0785.34056OpenAlexW2007260254MaRDI QIDQ4276775

Emanuela Caliceti, Anna Maria Cherubini

Publication date: 7 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530315

zbMATH Keywords

singular perturbationspectral propertiesrelativistic correctionsrelativistic deformation of the quantum harmonic oscillatorstability of the eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Stability of Schrödinger eigenvalue problems
• Degenerate asymptotic perturbation theory
• Relativistic quantum frames
• The 1/R expansion for \(H^ +_ 2:\) analyticity, summability, and asymptotics
• Localized States for Elementary Systems

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