Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule

• Authors: Wen-Chao Qiang , Yang Gao , Run-Suo Zhou
• Languages of publication: EN

Abstracts

EN

In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.

Keywords

EN

Schrödinger equation; Hulthén potential; exact quantization rule

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 34.20.Cf: Interatomic potentials and forces
• 34.20.Gj: Intermolecular and atom-molecule potentials and forces

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 2
• Pages: 356-362

Dates

published

1 - 6 - 2008

online

26 - 3 - 2008

Contributors

author

Wen-Chao Qiang

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, China

author

Yang Gao

• Xi’an Microelectronics Technology Institute, Xi’an, 710054, China

author

Run-Suo Zhou

• The Fourth Military Medical University, Xi’an, 710038, China

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Identifiers

DOI

10.2478/s11534-008-0041-1