The exact solution of two new types of Schrodinger equation

DOI10.1088/0305-4470/28/23/023zbMath0878.34075OpenAlexW2073698096MaRDI QIDQ4345756

Harold Exton

Publication date: 4 January 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/28/23/023

zbMATH Keywords

Schrödinger equationeigenvalues and eigenfunctionsbiconfluent Heun equationvariable transformations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (11)

A conditionally exactly solvable generalization of the inverse square root potential ⋮ The third five-parametric hypergeometric quantum-mechanical potential ⋮ Energy spectra of the Schrödinger equation and the differential quadrature method: improvement of the solution using particle swarm optimization ⋮ Solving eigenproblem by duality transform ⋮ Solutions of the bi-confluent Heun equation in terms of the Hermite functions ⋮ The Maslov index for composite power-law potentials: the case of the first Exton potential ⋮ Energy spectra of the Schrödinger equation and the differential quadrature method ⋮ A semi-inverse variational method for generating the bound state energy eigenvalues in a quantum system: the Schrödinger equation ⋮ Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method ⋮ The second Exton potential for the Schrödinger equation ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions

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