Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials
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
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
通訊作者 Ho, Choon-Lin
國別 USA
出版型式 紙本

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/88830 )