Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field

DOI10.1134/S0040577921040048zbMath1467.81035OpenAlexW3175902778MaRDI QIDQ2036360

E. I. Jafarov, Sh. M. Nagiyev

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921040048

zbMATH Keywords

gravitational fieldJacobi polynomialHautot potentialoscillator with coordinate-dependent mass

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gravitational interaction in quantum theory (81V17) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field

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