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The Berry connection and Born–Oppenheimer method

1992; American Institute of Physics; Volume: 33; Issue: 3 Linguagem: Inglês

10.1063/1.529751

1527-2427

Arno Böhm, Brian K. Kendrick, Mark Loewe, Luis J. Boya,

Quantum chaos and dynamical systems

By performing the most general Born–Oppenheimer procedure, the (non-Abelian) Berry connection for quantum systems in a quantum environment is derived. This method is then applied to the rapid rotation of a particle about a slowly changing axis, as exemplified by the electronic motion of a diatomic molecule. The angular part of the resulting dynamics for the quantum environment is equivalent to that of a monopole.