Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential | Zendy

G. Wei | Zendy; Long Chaoyun | Zendy; Qin Shui-jie | Zendy; Xin Zhang | Zendy

Open Access

Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential

Author(s) -

G. Wei,

Long Chaoyun,

Qin Shui-jie,

Xin Zhang

Publication year - 2008

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.57.6730

Subject(s) - klein–gordon equation , hypergeometric function , physics , wave equation , wave function , mathematical physics , bound state , exponential function , differential equation , scalar (mathematics) , frobenius solution to the hypergeometric equation , mathematical analysis , confluent hypergeometric function , mathematics , quantum mechanics , geometry , hypergeometric function of a matrix argument , nonlinear system

The Klein-Gordon equation of equal scalar and vector Manning-Rosen potentials with the centrifugal term is investigated in the spherical coordinates. Using a proper exponential approximate approachthe radial Klein-Gordon equation with the centrifugal term is transformed to the hypergeometric differential equationand the analytical bound state radial wave functions of the arbitrary l-wave Klein-Gordon equation are obtained. Finallytwo special cases for l=0 and α=0 or 1 are discussed briefly.

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