A transformation method of generating exact analytic solutions of the Schrödinger equation

DOI10.1007/BF02435851zbMath0890.35114OpenAlexW1984153556MaRDI QIDQ1376514

S. A. S. Ahmed

Publication date: 29 June 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435851

zbMATH Keywords

coordinate transformationfunctional transformationexact analytic bound-state solutions of the Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

Exact \(S\)-wave solution of the Schrödinger equation for three new potentials using the transformation method ⋮ Generation of exactly solvable potentials of the \(D\)-dimensional position-dependent mass Schrödinger equation using the transformation method ⋮ EXACT SOLUTION OF THE DIRAC EQUATION FOR A SINGULAR CENTRAL POWER POTENTIAL ⋮ Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in \(D\)-dimensional space

Cites Work

• Measure-theoretic properties of non-measurable sets
• The energy levels of the sextic double-well potential
• New class of conditionally exactly solvable potentials in quantum mechanics
• On the Connection Formulas and the Solutions of the Wave Equation
• Unnamed Item

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