Open AccessAnalytical 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,
Shuijie Qin,
Xin Zhang
Publication year - 2008
Publication title -
wuli xuebao
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.