dorsal/arxiv
View SchemaThe Born Oppenheimer wave function near level crossing
| Authors | J. E. Avron, A. Gordon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006078 |
| URL | https://arxiv.org/abs/quant-ph/0006078 |
| DOI | 10.1103/PhysRevA.62.062504 |
Abstract
The standard Born Oppenheimer theory does not give an accurate description of the wave function near points of level crossing. We give such a description near an isotropic conic crossing, for energies close to the crossing energy. This leads to the study of two coupled second order ordinary differential equations whose solution is described in terms of the generalized hypergeometric functions of the kind 0F3(;a,b,c;z). We find that, at low angular momenta, the mixing due to crossing is surprisingly large, scaling like \mu^(1/6), where \mu is the electron to nuclear mass ratio.
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"abstract": "The standard Born Oppenheimer theory does not give an accurate description of\nthe wave function near points of level crossing. We give such a description\nnear an isotropic conic crossing, for energies close to the crossing energy.\nThis leads to the study of two coupled second order ordinary differential\nequations whose solution is described in terms of the generalized\nhypergeometric functions of the kind 0F3(;a,b,c;z). We find that, at low\nangular momenta, the mixing due to crossing is surprisingly large, scaling like\n\\mu^(1/6), where \\mu is the electron to nuclear mass ratio.",
"arxiv_id": "quant-ph/0006078",
"authors": [
"J. E. Avron",
"A. Gordon"
],
"categories": [
"quant-ph",
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"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.62.062504",
"title": "The Born Oppenheimer wave function near level crossing",
"url": "https://arxiv.org/abs/quant-ph/0006078"
},
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