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

✍ Scribed by Qiang, Wen-Chao ;Gao, Yang ;Zhou, Run-Suo

• Book ID: 111488943
• Publisher: Walter de Gruyter GmbH
• Year: 2008
• Tongue: English
• Weight: 288 KB
• Volume: 6
• Category: Article
• ISSN: 2391-5471
• DOI: 10.2478/s11534-008-0041-1

✦ Synopsis

In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any 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.