Prepotential approach to exact and quasi-exact solvabilities
學年 97
學期 1
出版(發表)日期 2008-09-01
作品名稱 Prepotential approach to exact and quasi-exact solvabilities
作品名稱(其他語言)
著者 何俊麟; Ho, Choon-lin
單位 淡江大學物理學系
出版者 Maryland Heights: Academic Press
著錄名稱、卷期、頁數 Annals of Physics 323(9), pp.2241-2252
摘要 Exact and quasi-exact solvabilities of the one-dimensional Schrödinger equation are discussed from a unified viewpoint based on the prepotential together with Bethe ansatz equations. This is a constructive approach which gives the potential as well as the eigenfunctions and eigenvalues simultaneously. The novel feature of the present work is the realization that both exact and quasi-exact solvabilities can be solely classified by two integers, the degrees of two polynomials which determine the change of variable and the zeroth order prepotential. Most of the well-known exactly and quasi-exactly solvable models, and many new quasi-exactly solvable ones, can be generated by appropriately choosing the two polynomials. This approach can be easily extended to the constructions of exactly and quasi-exactly solvable Dirac, Pauli, and Fokker–Planck equations.
關鍵字 Prepotential; Exact solvability; Quasi-exact solvability; Bethe ansatz equations
語言 en
ISSN 0003-4916
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產學合作
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審稿制度
國別 USA
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