Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials(General and Mathematical Physics)

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概要

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• 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.

• 2011-08-25

著者

• Ho Choon-lin

  Department Of Physics Tamkang University

関連論文

• Deformed Fokker-Planck Equations(Condensed Matter and Statistical Physics)
• Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials(General and Mathematical Physics)

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