Physical Review A
Family of geometric phases
Franco Salmistraro
Abstract
A family of geometric phases associated with the evolution of a quantum system is introduced. These phases share the property of depending on the curve determined by the Schr\"odinger equation as well as on the choice of an orthonormal basis in the Hilbert space of states. Their role in the expansion of the wave function is examined, and a comparison with previous results about Berry phases is made. \textcopyright{} 1996 The American Physical Society.