Construction of Exactly Solvable Potentials from Romanovski Polynomials
Current Perspective to Physical Science Research Vol. 1,
20 September 2023
,
Page 133-141
https://doi.org/10.9734/bpi/cppsr/v1/6492C
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.
- Exactly solvable potential
- Schrödinger equation
- Romanovski polynomials