dorsal/arxiv
View SchemaExtending the quantal adiabatic theorem: Geometry of noncyclic motion
| Authors | Gonzalo Garcia de Polavieja, Erik Sjoeqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801013 |
| URL | https://arxiv.org/abs/quant-ph/9801013 |
| DOI | 10.1119/1.18799 |
| Journal | Forthcoming in American Journal of Physics (March 98) |
Abstract
We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm situation is worked out in detail. A spin-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.
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"abstract": "We show that a noncyclic phase of geometric origin has to be included in the\napproximate adiabatic wave function. The adiabatic noncyclic geometric phase\nfor systems exhibiting a conical intersection as well as for an Aharonov-Bohm\nsituation is worked out in detail. A spin-1/2 experiment to measure the\nadiabatic noncyclic geometric phase is discussed. We also analyze some\nmisconceptions in the literature and textbooks concerning noncyclic geometric\nphases.",
"arxiv_id": "quant-ph/9801013",
"authors": [
"Gonzalo Garcia de Polavieja",
"Erik Sjoeqvist"
],
"categories": [
"quant-ph"
],
"doi": "10.1119/1.18799",
"journal_ref": "Forthcoming in American Journal of Physics (March 98)",
"title": "Extending the quantal adiabatic theorem: Geometry of noncyclic motion",
"url": "https://arxiv.org/abs/quant-ph/9801013"
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