Title of article :
Meijerʹs G-Functions Series as Exact Solutions of the Radial Linear Potential
Author/Authors :
Benbitour، نويسنده , , M.A. and Meftah، نويسنده , , M.T.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Abstract :
We present an analytic solution to the Schrِdinger equation for a particle in a radial linear potential and for arbitrary value of orbital momentum. The solution is given in terms of a series sum of Meijerʹs functions. We derive the solution by solving it iteratively as an alternative approach to the technics of combinatorics functions. The energy eigenvalues are solutions of a trenscendental equation involving Meijer functions.
Keywords :
Meijerיs function , Mellin transform , Schrِdinger equation , linear potential
Journal title :
Reports on Mathematical Physics
Journal title :
Reports on Mathematical Physics