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 |