Arbitrary l-wave solutions of the Schrödinger equation for the screen coulomb potential

Shishan Dong, Guo Hua Sun, Shi Hai Dong

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

Using improved approximate schemes for centrifugal term and the singular factor 1/r appearing in potential itself, we solve the Schrödinger 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. © 2013 World Scientific Publishing Company.
Original languageAmerican English
JournalInternational Journal of Modern Physics E
DOIs
StatePublished - 1 Jun 2013

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Coulomb potential
angular momentum
energy levels
wave functions

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title = "Arbitrary l-wave solutions of the Schr{\"o}dinger equation for the screen coulomb potential",
abstract = "Using improved approximate schemes for centrifugal term and the singular factor 1/r appearing in potential itself, we solve the Schr{\"o}dinger 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. {\circledC} 2013 World Scientific Publishing Company.",
author = "Shishan Dong and Sun, {Guo Hua} and Dong, {Shi Hai}",
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Arbitrary l-wave solutions of the Schrödinger equation for the screen coulomb potential. / Dong, Shishan; Sun, Guo Hua; Dong, Shi Hai.

In: International Journal of Modern Physics E, 01.06.2013.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Sun, Guo Hua

AU - Dong, Shi Hai

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AB - Using improved approximate schemes for centrifugal term and the singular factor 1/r appearing in potential itself, we solve the Schrödinger 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. © 2013 World Scientific Publishing Company.

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