期刊論文
| 學年 | 99 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2011-04-01 |
| 作品名稱 | Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials |
| 作品名稱（其他語言） | |
| 著者 | Ho, Choon-Lin |
| 單位 | 淡江大學物理學系 |
| 出版者 | Maryland Height: Academic Press |
| 著錄名稱、卷期、頁數 | Annals of Physics 326(4), pp.797–807 |
| 摘要 | An interesting discovery in the last two years in the field of mathematical physics has been the exceptional $X_\ell$ Laguerre and Jacobi polynomials. Unlike the well-known classical orthogonal polynomials which start with constant terms, these new polynomials have lowest degree $\ell=1,2,...$, and yet they form complete set with respect to some positive-definite measure. While the mathematical properties of these new $X_\ell$ polynomials deserve further analysis, it is also of interest to see if they play any role in physical systems. In this paper we indicate some physical models in which these new polynomials appear as the main part of the eigenfunctions. The systems we consider include the Dirac equations coupled minimally and non-minimally with some external fields, and the Fokker-Planck equations. The systems presented here have enlarged the number of exactly solvable physical systems known so far. |
| 關鍵字 | Exceptional orthogonal polynomials; Dirac equations; Fokker–Planck equations |
| 語言 | en |
| ISSN | 0003-4916 |
| 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 | 是 |
| 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/987654321/88830 ) |