Sextic anharmonic oscillators and orthogonal polynomials

DOI10.1088/0305-4470/39/26/014zbMath1098.81031arXivmath-ph/0605057OpenAlexW3102111349MaRDI QIDQ5478411

Nasser Saad, Hakan Çiftçi, Richard L. Hall

Publication date: 13 July 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0605057

Mathematics Subject Classification ID

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)

Related Items (17)

A connection between the asymptotic iteration method and the continued fractions formalism ⋮ Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential ⋮ The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation ⋮ \(q\)-deformed superstatistics of the anharmonic oscillator for unrelativistic and relativistic (K-G equation) cases in noncommutative plane ⋮ Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach ⋮ Integrability of the one dimensional Schrödinger equation ⋮ Development of the perturbation theory using polynomial solutions ⋮ Construction of stationary quantum states with targeted energies ⋮ Galoisian approach to integrability of Schrödinger equation ⋮ Exact solution of Schrödinger equation for Pseudoharmonic potential ⋮ Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential ⋮ Bound-state solution of \(s\)-wave Klein-Gordon equation for Woods-Saxon potential ⋮ EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH SPHERICALLY SYMMETRIC OCTIC POTENTIAL ⋮ On some polynomial potentials in d-dimensions ⋮ ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS ⋮ Liouvillian solutions for second order linear differential equations with polynomial coefficients ⋮ Soft-core Coulomb potentials and Heun’s differential equation

This page was built for publication: Sextic anharmonic oscillators and orthogonal polynomials