期刊論文
| 學年 | 89 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2001-05-01 |
| 作品名稱 | Charged particles in external fields as physical examples of quasi-exactly-solvable models: A unified treatment |
| 作品名稱（其他語言） | |
| 著者 | Chiang, Chun-ming; Ho, Choon-lin |
| 單位 | 淡江大學物理學系 |
| 出版者 | College Park: American Physical Society |
| 著錄名稱、卷期、頁數 | Physical Review A (Atomic, Molecular, and Optical Physics) 63(6), pp.62105-62110 |
| 摘要 | We present a unified treatment of three cases of quasi-exactly solvable problems, namely, charged particle moving in Coulomb and magnetic fields, for both the Schr\"odinger and the Klein-Gordon case, and the relative motion of two charged particles in an external oscillator potential. We show that all these cases are reducible to the same basic equation, which is quasi-exactly solvable owing to the existence of a hidden $sl_2$ algebraic structure. A systematic and unified algebraic solution to the basic equation using the method of factorization is given. Analytic expressions of the energies and the allowed frequencies for the three cases are given in terms of the roots of one and the same set of Bethe ansatz equations. |
| 關鍵字 | High Energy Physics - Theory (hep-th); Condensed Matter (cond-mat); Mathematical Physics (math-ph); Spectral Theory (math.SP); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph) |
| 語言 | en |
| ISSN | 1050-2947 |
| 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 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/72697 ) |