Charged particles in external fields as physical examples of quasi-exactly-solvable models: A unified treatment

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/72697

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/72697

题名:	Charged particles in external fields as physical examples of quasi-exactly-solvable models: A unified treatment
作者:	Chiang, Chun-ming;Ho, Choon-lin
贡献者:	淡江大學物理學系
关键词:	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)
日期:	2001-05
上传时间:	2013-07-09 15:10:42 (UTC+8)
出版者:	College Park: American Physical Society
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.
關聯:	Physical Review A (Atomic, Molecular, and Optical Physics) 63(6), pp.62105-62110
DOI:	10.1103/PhysRevA.63.062105
显示于类别:	[物理學系暨研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
1050-2947_63(6)p62105-62110.pdf		62Kb	Adobe PDF	311	检视/开启
index.html		0Kb	HTML	172	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章