Prepotential approach to exact and quasi-exact solvabilities

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/50351

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题名:	Prepotential approach to exact and quasi-exact solvabilities
作者:	何俊麟;Ho, Choon-lin
贡献者:	淡江大學物理學系
关键词:	Prepotential;Exact solvability;Quasi-exact solvability;Bethe ansatz equations
日期:	2008-09
上传时间:	2010-08-09 15:47:16 (UTC+8)
出版者:	Maryland Heights: Academic Press
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.
關聯:	Annals of Physics 323(9), pp.2241-2252
DOI:	10.1016/j.aop.2008.04.010
显示于类别:	[物理學系暨研究所] 期刊論文

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