19–23 Dec 2024
Swatantrata Bhavan, Banaras Hindu University, Varanasi
Asia/Kolkata timezone

Applications of Newly Discovered Orthogonal Polynomials in Quantum Theory

Not scheduled
20m
Swatantrata Bhavan, Banaras Hindu University, Varanasi

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Department of Physics, I.Sc., Banaras Hindu University, 221005 Varanasi, India
Oral Formal theory

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

Author

Dr Rajesh Kumar Yadav (Sido Kanhu Murmu University, Dumka)

Presentation materials

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