Construction of Exactly Solvable Potentials from Romanovski Polynomials

Bhagawati, Nabaratna (2023) Construction of Exactly Solvable Potentials from Romanovski Polynomials. In: Current Perspective to Physical Science Research Vol. 1. B P International (a part of SCIENCEDOMAIN International), pp. 133-141. ISBN Prof. Abbas Mohammed Current Perspective to Physical Science Research Vol. 1 09 20 2023 09 20 2023 9788119761647 B P International (a part of SCIENCEDOMAIN International) 10.9734/bpi/cppsr/v1 https://stm.bookpi.org/CPPSR-V1/issue/view/1186

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Abstract

We apply Extended transformation method to construct exactly solvable potentials of stationary state Schrodinger equation in any arbitrary dimensional Euclidean space. The normalized wave functions of the constructed potentials are obtained in terms of Romanovski polynomials. We show that there are six choices of coordinate transformation each leading to a potential for which Schrodinger equation is exactly solvable in terms of Romanovski polynomials. With analytical calculations we report that out of these six potentials only two are independent.

Item Type: Book Section
Subjects: EP Archives > Engineering
Depositing User: Managing Editor
Date Deposited: 29 Sep 2023 12:42
Last Modified: 29 Sep 2023 12:42
URI: http://research.send4journal.com/id/eprint/2675

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