Exact solutions of the radial Schrödinger equation for some physical potentials

2007/01/01 by Sameer M. Ikhdair, Sameer Ikhdair, Ramazan Sever
Mathematics · Physics and Astronomy · #Ansatz #Eigenfunction #Exact solutions in general relativity #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Radial function #Spectral Theory in Mathematical Physics #Wave equation #Wave function #Work (physics) #quant-ph

paper · pdf · doi:10.2478/s11534-007-0022-9

published as CentralEur.J.Phys.5:516,2007 · 13 pages

openalex publication_date 2007/01/01 · arxiv created 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.

Citations

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