Geometrical squeezed states of a charged particle in a time-dependent magnetic field

Abstract Geometrical squeezed states of a quantum charged particle moving in a homogeneous field are introduced. The difference between the time-dependent “circular” and Landau gauges is investigated. It is shown that only the Landau gauge generates squeezing of an initially coherent state. Two simple explicit time dependences of the magnetic field are considered: a step-like variation and a delta-kick.