Mathematical Physics

   

Quantum Mechanics of Singular Inverse Square Potentials Under Usual Boundary Conditions

Authors: Damien K. K. Adjaï, Jean Akande, Lucas H. Koudahoun, Biswanath Rath, Pravanjan Mallick, Rati Ranjan Sahoo, Y. J. Fernando Kpomahou, Marc D. Monsia

The quantum mechanics of inverse square potentials in one dimension is usually studied through renormalization, self-adjoint extension and WKB approximation. This paper shows that such potentials may be investigated within the framework of the position-dependent mass quantum mechanics formalism under the usual boundary conditions. As a result, exact discrete bound state solutions are expressed in terms of associated Laguerre polynomials with negative energy spectrum using the Nikiforov-Uvarov method for the repulsive inverse square potential.

Comments: 10 pages

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[v1] 2017-03-11 05:42:37

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