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The Born Oppenheimer wave function near level crossing
J. E. Avron, A. Gordon
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0006078
- categories:
- quant-ph math-ph math.MP physics.chem-ph
- comments:
- 21 pages, 7 figures
- doi:
- 10.1103/PhysRevA.62.062504
- arxiv_id:
- quant-ph/0006078
- created:
- 2000-06-18
- updated:
- 2000-08-22
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