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 en
ISSN 1751-8113
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 GBR
公開徵稿
出版型式 紙本
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