Origin of branch points in the spectrum of PT -symmetric periodic potentials

Ching Hao Chang, Shi Ming Wang, Tzay Ming Hong

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

There exist multiple branch points in the energy spectrum for some PT -symmetric periodic potentials, where the real eigenvalues turn into complex ones. By studying the transmission amplitude for a localized complex potential, we elucidate the physical origin of the breakdown of the perturbation method and Born approximation. Most importantly, we derive an analytic criterion to determine why, when, and where the bifurcation will occur.

原文English
文章編號042105
期刊Physical Review A - Atomic, Molecular, and Optical Physics
80
發行號4
DOIs
出版狀態Published - 2009 十月 6

All Science Journal Classification (ASJC) codes

  • 原子與分子物理與光學

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