ARBITRARY l-WAVE SOLUTIONS OF THE SCHRODINGER EQUATION FOR THE SCREEN COULOMB POTENTIAL

作者:Dong Shishan; Sun Guo Hua; Dong Shi Hai
来源:International Journal of Modern Physics E-Nuclear Physics, 2013, 22(6): 1350036.
DOI:10.1142/S0218301313500365

摘要

Using improve approximate schemes for centrifugal term and the singular factor 1/r appearing in potential itself, we solve the Schrodinger equation with the screen Coulomb potential for arbitrary angular momentum state l. The bound state energy levels are obtained. A closed form of normalization constant of the wave functions is also found. The numerical results show that our results are in good agreement with those obtained by other methods. The key issue is how to treat two singular points in this quantum system.

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