Minimum-uncertainty states and pseudoclassical dynamics

Abstract

All the minimum-uncertainty states vertical-barz (..cap alpha..) > are built as the eigenstates of generalized annihilation operators a (..cap alpha..). We obtain the most general Hamiltonian which verifies the following property: Given an initial minimum-uncertainty state vertical-barz (..cap alpha..) > at t = 0, the z' which corresponds to the minimum-uncertainty state that maximizes parallel parallel/sup 2/ follows the classical trajectory in phase space. Finally, we comment on its relationship with the most general Hamiltonian which preserves minimality.