Dynamical symmetry and geometric phase

Abstract

By considering dynamical symmetry between canonically equivalent systems, we investigate the connection between the geometric phase and dynamical invariants, where the Liouville-von-Neumann equation is directly deduced. Furthermore, we show that an arbitrary shift of the Hamiltonian, where f i(t) is a real function and Xi is a generator of dynamical symmetry, leaves the geometric phase invariant. © 2007 The Royal Swedish Academy of Sciences.