Is there a prescribed parameter's space for the adiabatic geometric phase?

Abstract

The Aharonov-Anandan and Berry phases are determined for the cyclic motions of a non-relativistic charged spinless particle evolving in the superposition of the fields produced by a Penning trap and a rotating magnetic field. Discussion about the selection of the parameter's space and the relationship between the Berry phase and the symmetry of the binding potential is given.

7 pages, 2 figures

Cited by in corpus (3)

• Coherent states approach to Penning trap
• Coherent states for quadratic Hamiltonians
• Nonlinear supercoherent states and geometric phases for the supersymmetric harmonic oscillator