- 99-457 A. Gordon and J. E. Avron
- Born-Oppenheimer Approximation near Level Crossing
(86K, LaTeX 2e with 1 PS Figure)
Dec 1, 99
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Abstract. We consider the Born-Oppenheimer problem near conical intersection
in two dimensions. For energies close to the crossing energy we
describe the wave function near an isotropic crossing and show
that it is related to generalized hypergeometric functions
0F3. This function is to a conical intersection what the Airy
function is to a classical turning point. As an application we
calculate the anomalous Zeeman shift of vibrational levels near a
crossing.
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