| 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 |
| 期刊性質 | |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/50351 ) |
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