dorsal/arxiv
View SchemaPhases of Wave Functions and Level Repulsion
| Authors | W. D. Heiss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901023 |
| URL | https://arxiv.org/abs/quant-ph/9901023 |
| DOI | 10.1007/s100530050339 |
Abstract
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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"abstract": "Avoided level crossings are associated with exceptional points which are the\nsingularities of the spectrum and eigenfunctions, when they are considered as\nfunctions of a coupling parameter. It is shown that the wave function of {\\it\none} state changes sign but not the other, if the exceptional point is\nencircled in the complex plane. An experimental setup is suggested where this\npeculiar phase change could be observed.",
"arxiv_id": "quant-ph/9901023",
"authors": [
"W. D. Heiss"
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"doi": "10.1007/s100530050339",
"title": "Phases of Wave Functions and Level Repulsion",
"url": "https://arxiv.org/abs/quant-ph/9901023"
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