Exact solutions of the radial Schrodinger equation for some physical potentials

Abstract

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and Kratzer potentials in two dimensions. The energy levels of all the bound states are easily calculated from this eigenfunction ansatz. The normalized wavefunctions are also obtained.

13 pages

References in corpus (3)

• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz
• Exact Polynomial Solutions of the Mie-Type Potential in the N-Dimensional Schrodinger Equation

Cited by in corpus (8)

• Eigensolution techniques, their applications and the Fisher's information entropy of Tietz-Wei diatomic molecular model
• Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
• Approximate analytical solution of the Yukawa potential with arbitrary angular momenta
• Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
• Relativistic new Yukawa-like potential and tensor coupling
• Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials
• Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential
• The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator