教師資料查詢 | 類別: 期刊論文 | 教師: 何俊麟 HO, CHOON-LIN (瀏覽個人網頁)

標題:Charged particles in external fields as physical examples of quasi-exactly-solvable models: A unified treatment
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)
語言英文
ISSN1050-2947
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
國別美國
公開徵稿
出版型式紙本
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