Motivated by some recent remarks on the ‘‘removability’’ of Berry’s phase [Ph. De Sousa Gerbert, Ann. Phys. (N.Y.) 189, 155 (1989)] or its classical counterpart, the Hannay angle, we present here a fresh analysis of Berry’s-phase calculations for some coherent states of general theoretical interest. Our reasoning, though semiclassical, lends itself easily for comparison with the exact results. Unlike spin-coherent states, both the (ordinary) harmonic-oscillator and squeezed coherent states are contained in Hamiltonians for which Berry’s phase can be removed globally by a canonical transformation.

• Received 7 March 1990

DOI:https://doi.org/10.1103/PhysRevA.43.5717