On exact solutions of the Schrodinger equation

DOI10.1088/0305-4470/16/2/011zbMath0528.35027OpenAlexW2020626899MaRDI QIDQ5896182

Miloslav Znojil

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1088/0305-4470/16/2/011

zbMATH Keywords

exact solutionselementary solutionscoupled algebraic equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Padé oscillators and a new formulation of perturbation theory ⋮ On the elementary Schrödinger bound states and their multiplets ⋮ Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetry ⋮ The exact bound-state ansaetze as zero-order approximations in perturbation theory. I: The formalism and Padé oscillators ⋮ The exact bound-state ansaetze as zero-order approximations in perturbation theory. II: An illustration: \(V(r)= r^2+ fr^2/ (1+gr^2)\) ⋮ Solutions of the radial Schrödinger equation in hypergeometric and discrete fractional forms

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