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 en
ISSN 1050-2947
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 USA
公開徵稿
出版型式 紙本
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