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.

arXiv comment13 pages

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Cited by in corpus (12)

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• On the bound-state solutions of the Manning-Rosen potential including improved approximation to the orbital centrifugal term
• Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
• Approximate analytical solution of the Yukawa potential with arbitrary angular momenta
• Realization of the spectrum generating algebra for the generalized Kratzer potentials
• 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
• Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
• The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator
• Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential
• Exact solution to the Schrodinger's equation with pseudo-Gaussian potential