Abstract
Exact analytic solutions of the Schrodinger equation are obtained for classes of newly constructed potentials which are generated from the trigonometric Rosen-Morse potential as the input reference potential via extended transformation method. A set of quantized energy spectra of the bound states and the corresponding wave functions of the generated potentials are obtained. We also focus on to the Romanovski Polynomials which is a family of the real orthogonal polynomials and is required to present exact real analytic solutions of the generated potentials.
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