%0 Journal Article
%T Time-dependent Schr£żdinger equations having isomorphic symmetry algebras. II. Symmetry algebras, coherent and squeezed states
%A Michael Martin Nieto
%A D. Rodney Truax
%J Mathematics
%D 1998
%I arXiv
%R 10.1063/1.533269
%X Using the transformations from paper I, we show that the Schr\"odinger equations for: (1)systems described by quadratic Hamiltonians, (2) systems with time-varying mass, and (3) time-dependent oscillators, all have isomorphic Lie space-time symmetry algebras. The generators of the symmetry algebras are obtained explicitly for each case and sets of number-operator states are constructed. The algebras and the states are used to compute displacement-operator coherent and squeezed states. Some properties of the coherent and squeezed states are calculated. The classical motion of these states is deomonstrated.
%U http://arxiv.org/abs/quant-ph/9811076v2