Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/88830

請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/88830

題名:	Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials
作者:	Ho, Choon-Lin
貢獻者:	淡江大學物理學系
關鍵詞:	Exceptional orthogonal polynomials;Dirac equations;Fokker–Planck equations
日期:	2011-04
上傳時間:	2013-04-26 16:40:02 (UTC+8)
出版者:	Maryland Height: Academic Press
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.
關聯:	Annals of Physics 326(4), pp.797–807
DOI:	10.1016/j.aop.2010.12.006
顯示於類別:	[物理學系暨研究所] 期刊論文

文件中的檔案:

檔案	大小	格式	瀏覽次數
Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials.pdf	229Kb	Adobe PDF	1	檢視/開啟
index.html	0Kb	HTML	208	檢視/開啟
index.html	0Kb	HTML	96	檢視/開啟

在機構典藏中所有的資料項目都受到原著作權保護.

TAIR相關文章