Bound States of Klein-Gordon and Dirac Equation with Type-I Vector and Scalar Poschl-Teller Potentia

论文发布时间：[2009-10-14] 范文大全编辑：Voive.net

所有作者：田文杰

作者单位：陕西师范大学物理学与信息技术学院

论文摘要：We analyze the stationary radial Klein-Gordon equation with mixed vector and scalar potentials， and specifically for the case with V(r)=S(r) type-I Poschl-Teller potentials for s-wave bound states， we obtain the exact wave function and the energy spectrum via hypergeometric functions。 As for Dirac equation， we introduce the radial functions in two ways， based on the complete sets [H， \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\kappa， J， P] and (H， \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\kappa，J^２，J_z)， respectively。 Its s-wave bound states with V(r)=S(r) lead to the identical radial equation with that of the Klein-Gordon equation， which give rise to an immediate solution。

关键词： Klein-Gordon Equation Dirac Equation Bound States Hypergeometric Function Type-I Poschl-Teller Poten

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