Article ID Journal Published Year Pages File Type
1901031 Reports on Mathematical Physics 2013 9 Pages PDF
Abstract

We present an analytic solution to the Schrödinger 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 Meijer's 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.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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