Perturbed factorization of the singular anharmonic-oscillator eigenequation

DOI10.1063/1.530673zbMath0822.34072OpenAlexW1975912092MaRDI QIDQ4837126

Nik Bessis, G. Bessis

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530673

zbMATH Keywords

perturbed eigenvaluesperturbed eigenequationperturbed-ladder-operator methodSchrödinger- Infeld-Hull factorization methodspiked-harmonic- oscillator eigenequation

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)

Related Items (4)

Spiked Harmonic Oscillator: N^-1 Expansion ⋮ Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ Construction of coherent states for Morse potential: a su(2)-like approach ⋮ Open perturbation and the Riccati equation: Algebraic determination of the quartic anharmonic oscillator energies and eigenfunctions

Cites Work

• Singular perturbation potentials
• The Factorization Method

This page was built for publication: Perturbed factorization of the singular anharmonic-oscillator eigenequation