Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions

DOI10.1155/2018/9824538zbMath1404.81124arXiv1710.07199OpenAlexW2962737931MaRDI QIDQ1629673

Shishan Dong, M. A. Mercado Sanchez, Shi-Hai Dong, Guo-Hua Sun, C. Mejía-García, G. Yañez-Navarro

Publication date: 12 December 2018

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07199

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80)

Related Items

Semi-exact solutions of sextic potential plus a centrifugal term ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ About families of orthogonal polynomials satisfying Heun's differential equation

Cites Work

• Unnamed Item
• Schrödinger potentials solvable in terms of the confluent Heun functions
• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• Schrödinger potentials solvable in terms of the general Heun functions
• Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl–Teller potential
• Potentials of the Heun class
• On the solvability of the generalized hyperbolic double-well models
• A class of solvable potentials
• On a solution of the Schrödinger equation with a hyperbolic double-well potential
• Bound states in a hyperbolic asymmetric double-well

This page was built for publication: Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions