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Generation of new classes of exactly solvable potentials

Author:
Ahmed, Syed A S   Buragohain, Lakhi  


Journal:
Physica Scripta


Issue Date:
2009


Abstract(summary):

Exact analytic solutions of the Schroumldinger equation are obtained for the classes of newly constructed hyperbolic type of potentials which are generated from the Eckart and trigonometric Rosen-Morse (tRM) potentials as input reference potentials via the extended transformation method. A set of quantized energy spectra of the bound states and the corresponding wavefunctions of the constructed potentials are obtained. We also focus on the Romanovski polynomial, which is a family of real orthogonal polynomials and is required to present exact solutions of tRM potential.


Page:
25004-0


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