Physical Review Letters

Cyclic Evolution in Quantum Mechanics and the Phases of Bohr-Sommerfeld and Maslov

Robert G. Littlejohn

Published Nov 7, 1988• 39 citations

Abstract

The Bohr-Sommerfeld and Maslov phases, which occur in the Einstein-Brillouin-Keller quantization rule of semiclassical mechanics, are shown to be examples of Berry's phase. The generalization of Berry's phase due to Aharonov and Anandan, which does not require adiabaticity, is employed.

DOI: 10.1103/physrevlett.61.2159

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