Potentials of the Heun class

DOI10.1088/1751-8113/46/24/245204zbMath1269.81038arXiv1212.0448OpenAlexW3105379829MaRDI QIDQ2839467

Davide Batic, Runako Williams, Marek Nowakowski

Publication date: 11 July 2013

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

Full work available at URL: https://arxiv.org/abs/1212.0448

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) Special quantum systems, such as solvable systems (81Q80)

Related Items (11)

Unified supersymmetric transformations for the harmonic oscillator and its rational extension ⋮ Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions ⋮ Exact solutions of an asymmetric double well potential ⋮ Schrödinger potentials solvable in terms of the confluent Heun functions ⋮ The Lambert-\(W\) step-potential -- an exactly solvable confluent hypergeometric potential ⋮ Solutions of the bi-confluent Heun equation in terms of the Hermite functions ⋮ Schrödinger potentials solvable in terms of the general Heun functions ⋮ Semicommuting and commuting operators for the Heun family ⋮ Exact solutions of the sextic oscillator from the bi-confluent Heun equation ⋮ Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function) ⋮ Potentials of the Heun class: The triconfluent case

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