Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials

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Title:	Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials
Authors:	Ho, Choon-Lin
Contributors:	淡江大學物理學系
Date:	2011-08
Issue Date:	2014-02-17 11:17:04 (UTC+8)
Publisher:	Tokyo: Institute of Pure and Applied Physics
Abstract:	We show how all the quantal systems related to the exceptional Laguerre and Jacobi polynomials can be constructed in a direct and systematic way, without the need of shape invariance and Darboux-Crum transformation. Furthermore, the prepotential need not be assumed a priori. The prepotential, the deforming function, the potential, the eigenfunctions and eigenvalues are all derived within the same framework. The exceptional polynomials are expressible as a bilinear combination of a deformation function and its derivative.
Relation:	Progress of Theoretical Physics 126(2), pp.185-201
DOI:	10.1143/PTP.126.185
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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