期刊論文
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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國別 | USA |
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相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/50351 ) |