Fermanian Kammerer, C. and Lasser, C. (2003) Wigner measures and codimension two crossings. J. Math. Phys., 44 (2). pp. 507557.

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Official URL: http://dx.doi.org/10.1063/1.1527221
Abstract
This article gives a semiclassical description of nucleonic propagation through codimension two crossings of electronic energy levels. Codimension two crossings are the simplest energy level crossings, which affect the Born–Oppenheimer approximation in the zeroth order term. The model we study is a twolevel Schrödinger equation with a Laplacian as kinetic operator and a matrixvalued linear potential, whose eigenvalues cross, if the two nucleonic coordinates equal zero. We discuss the case of welllocalized initial data and obtain a description of the wavefunction’s twoscaled Wigner measure and of the weak limit of its position density, which is valid globally in time.
Item Type:  Article 

Subjects:  Physical Sciences > Physics > Mathematical & Theoretical Physics > Quantum Mechanics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  908 
Deposited By:  Burkhard Schmidt 
Deposited On:  29 Apr 2010 08:47 
Last Modified:  03 Mar 2017 14:40 
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