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:Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below
學年96
學期2
出版(發表)日期2008/06/01
作品名稱Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below
作品名稱(其他語言)
著者Cho, Hing-tong; Ho, Choon-lin
單位淡江大學物理學系
出版者Bristol: Institute of Physics Publishing Ltd.
著錄名稱、卷期、頁數Journal of Physics A: Mathematical and theoretical 41(25), 255308(11pages)
摘要We study the self-adjoint extensions of the Hamiltonian operator with symmetric potentials which go to −∞ faster than −|x|2p with p > 1 as x → ±∞. In this extension procedure, one requires the Wronskian between any states in the spectrum to approach to the same limit as x → ±∞. Then the boundary terms cancel and the Hamiltonian operator can be shown to be Hermitian. Discrete bound states with even and odd parities are obtained. Since the Wronskian is not required to vanish asymptotically, the energy eigenstates could be degenerate. Some explicit examples are given and analyzed.
關鍵字
語言英文
ISSN1751-8113
期刊性質國際
收錄於
產學合作
通訊作者Cho, Hing-Tong; Ho, Choon-Lin
審稿制度
國別英國
公開徵稿
出版型式紙本
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