Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1995-02-02
Phys.Rev.Lett. 74 (1995) 1264
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Revtex, 11 pages, no figures.
Scientific paper
10.1103/PhysRevLett.74.1264
The study of wavepacket revivals is extended to the case of Hamiltonians which are made time-dependent through the adiabatic cycling of some parameters. It is shown that the quantal geometric phase (Berry's phase) causes the revived packet to be displaced along the classical trajectory, by an amount equal to the classical geometric phase (Hannay's angle), in one degree of freedom. A physical example illustrating this effect in three degrees of freedom is mentioned.
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