Phases of Wave Functions and Level Repulsion

Details Phases of Wave Functions and Level Repulsion Phases of Wave Functions and Level Repulsion

1999-01-11

arxiv.org/abs/quant-ph/9901023v1

Physics

Quantum Physics

4 pages Latex, 2 figures encapsulated postscripts (*.epsi) submitted to The European Physical Journal D

Scientific paper

10.1007/s100530050339

Avoided level crossings are associated with exceptional points which are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. It is shown that the wave function of {\it one} state changes sign but not the other, if the exceptional point is encircled in the complex plane. An experimental setup is suggested where this peculiar phase change could be observed.

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