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2013
Impact Factor

J. Bruening

Unter den Linden, 10099, Berlin, Germany
Institut fuer Mathematik, Humboldt Universitaet zu Berlin

Publications:

Bruening J., Dobrokhotov S. Y., Semenov E. S.
Unstable closed trajectories, librations and splitting of the lowest eigenvalues in quantum double well problem
2006, vol. 11, no. 2, pp.  167-180
Abstract
We discuss the structure of asymptotic splitting formula for the lowest eigenvalues of multidimensional quantum double well problem. We show that the change of instanton by closed unstable trajectory of appropriate Hamiltonian system gives more natural and simpler preexponential factor (amplitude) in splitting formula. The projection of this trajectories onto configuration space are well know librations in classical mechanics.
Keywords: quantum double well problem, librations, splitting value, tunneling effect, normal forms, complex phase space
Citation: Bruening J., Dobrokhotov S. Y., Semenov E. S.,  Unstable closed trajectories, librations and splitting of the lowest eigenvalues in quantum double well problem , Regular and Chaotic Dynamics, 2006, vol. 11, no. 2, pp. 167-180
DOI: 10.1070/RD2006v011n02ABEH000343

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