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
Pages
9
From page
93
To page
101
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
Serial Year
2013
Journal title
Reports on Mathematical Physics
Record number
1990573
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