2007Unpublished venueRequires access

Exact solutions of the radial Schrodinger equation for some physical potentials

Sameer M. Ikhdair, R. Sever

Open publisher page 47 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 47 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Ansatz, Eigenfunction, Wave function, Schrödinger equation, Bound state, Physics, Mathematical physics, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
Exact solutions of the radial Schrodinger equation for some physical potentials — Research Paper | ScholarLens