標題: Levinson theorem with the nonlocal Aharonov-Bohm effect
作者: Lin, DH
應用數學系
Department of Applied Mathematics
公開日期: 1-十一月-2003
摘要: Levinson theorem for a charged particle moving in an arbitrary short-range potential and the field of the Aharonov-Bohm magnetic flux is established. The theorem constructs the relation delta(alpha)(0)=n(alpha)pi between the phase shift delta(alpha)(k) of scattering state at zero momentum and the total number n(alpha) of bound states for the alphath angular-momentum channel, where alpha=\m+mu(0)\ is a real number (m=integer, and mu(0)=-Phi/Phi(0) with Phi being the magnetic flux and Phi(0)=hc/e the fundamental flux quantum). The relation means that the phase shift at the threshold of zero momentum can serve as a counter for the bound states in the general angular-momentum channel.
URI: http://dx.doi.org/10.1103/PhysRevA.68.052705
http://hdl.handle.net/11536/27436
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.68.052705
期刊: PHYSICAL REVIEW A
Volume: 68
Issue: 5
起始頁: 0
結束頁: 0
顯示於類別:期刊論文


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