Bound state solutions of the Dirac equation with the Makarov potentials

Zhang Min-Cang; Wang Zhen-Bang

doi:10.7498/aps.55.6229

Abstract
The bound state solutions of the Dirac equation with equal scalar and vector Makarov potentials are obtained. It is shown that angular component of the Dirac equation can be solved with the gactorization method， which enables us to find immediately the eigenvalues and at the same time the manipulation process for the normalized eigenfunctions. The radial bound state solutions are expressed in terms of the confluent hypergeometric functions and the energy equation is derived from the boundary condition satisfied by the radial wavefunctions.

Keywords:
Makarov potential /

Dirac equation /

bound state /

factorization method
Authors and contacts
Zhang Min-Cang,

Wang Zhen-Bang

1.
陕西师范大学物理学与信息技术学院, 西安 710062
References

Cited By

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Vol. 55, Issue 12 - 2006-06-20

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Bound state solutions of the Dirac equation with the Makarov potentials

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Bound state solutions of the Dirac equation with the Makarov potentials

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