Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/50348

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/987654321/50348

题名:	Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below
作者:	Cho, Hing-tong;Ho, Choon-lin
贡献者:	淡江大學物理學系
日期:	2008-06
上传时间:	2013-03-12 10:58:00 (UTC+8)
出版者:	Bristol: Institute of Physics Publishing Ltd.
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.
關聯:	Journal of Physics A: Mathematical and theoretical 41(25), 255308(11pages)
DOI:	10.1088/1751-8113/41/25/255308
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
index.html		0Kb	HTML	274	检视/开启
Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below.pdf		523Kb	Adobe PDF	2	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