Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials
學年 100
學期 1
出版(發表)日期 2011-08-01
作品名稱 Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials
作品名稱(其他語言)
著者 Ho, Choon-Lin
單位 淡江大學物理學系
出版者 Tokyo: Institute of Pure and Applied Physics
著錄名稱、卷期、頁數 Progress of Theoretical Physics 126(2), pp.185-201
摘要 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.
關鍵字
語言 en_US
ISSN 1347-4081 0033-068X
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Ho, Choon-Lin
審稿制度
國別 JPN
公開徵稿
出版型式 紙本 電子版
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