2003-2004 Colloquium Series

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NAU Physical Sciences (Bldg 19, Rm 218), Thursday, 24 June 2004, 4:00 PM
(Refreshments at 3:45pm)

SUSY QM - A NOVEL FACTORIZATION METHOND IN QUANTUM MECHANICS

Ranabir Dutt
Visva Bharati University
Santiniketan, India

Abstract

In the past twenty years, the ideas of supersymmetry have played an important role in quantum mechanics. There is now a much deeper understanding of why certain potentials are analytically solvable. Exactly solvable potentials can be understood in terms of a few basic ideas which include supersymmetric partner potentials, shape invariance and operator transformations. For non-exactly solvable problems, a supersymmetry-inspired WKB (SWKB) approximation method yields significantly improved results in comparison to those obtainable from the conventional WKB approach. Applications of SUSY QM to confined quantum systems as well as for generating multi-soliton solutions of <the> KdV equation will be discussed.

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