93-174 Joye A., Pfister Ch-Ed.
Non-Abelian Geometrical Effect in Quantum Adiabatic Transitions (59K, LaTeX) Jun 10, 93
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Abstract. We establish a new formula for the probability of a quantum adiabatic transition between two permanently degenerated energy-levels which do not cross. This formula corresponds to the non-abelian generalization of the Landau-Dykhne formula valid for the non-degenerate case. It applies in particular in cases of symmetry induced degeneracy, a typical example being the Kramer's degeneracy.

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