Generation of Exactly Solvable Potential from Trigonometric Scarf Potential in D-dimensional Space

Author(s)	Nilamoni Saikia
Country	India
Abstract	Exact bound state as well as scattering state solutions of Schrodinger Green’s function equation is presented for constructing hyperbolic class of exactly solvable quantum systems are obtained in D-dimensional space, using extended transformation method. In the current literature the exact solution to the hyperbolic Scarf are written in terms of Jacobi polynomials and these polynomials are referred to Romanovski polynomials. The normalizability of bound state solutions of the generated exactly solvable potential are discussed.
Keywords	Extended Transformation, Schrodinger Green’s Function Equation, Exactly Solvable Potential
Field	Physics
Published In	Volume 4, Issue 2, March-April 2022
Published On	2022-04-28
DOI	https://doi.org/10.36948/ijfmr.2022.v04i02.002
Short DOI	https://doi.org/gp3c9z

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