The Schrodinger equation for the interaction potential x2+λx2/(1+gx2) and the first Heun confluent equation

DOI10.1088/0305-4470/18/13/020zbMath0579.34017OpenAlexW2005736904MaRDI QIDQ3701784

G. Marcilhacy, Roland Pons

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1088/0305-4470/18/13/020

zbMATH Keywords

singularityinteraction potentialHeun functionone dimensional Schrödinger equation

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items (5)

The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation ⋮ Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetry ⋮ Unified derivation of exact solutions for a class of quasi-exactly solvable models ⋮ Confluent Heun functions and separation of variables in spheroidal coordinates

This page was built for publication: The Schrodinger equation for the interaction potential x²+λx²/(1+gx²) and the first Heun confluent equation