Speaker
Dr
Rajesh Kumar Yadav
(Sido Kanhu Murmu University, Dumka)
Description
In quantum theory, the solutions of most of the solvable systems are related to the well-known classical orthogonal polynomials namely the Hermite orthogonal polynomials, Laguerre orthogonal polynomials or the Jacobi orthogonal polynomials etc. In this work, listed all the newly discovered orthogonal polynomials (also known as exceptional orthogonal polynomials) with their important properties and discuss their applications in searching of new solvable systems. We further show that the solutions of these solvable potentials can also be written explicitly in terms these exceptional orthogonal polynomials.
Field of contribution | Theory |
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Author
Dr
Rajesh Kumar Yadav
(Sido Kanhu Murmu University, Dumka)