Time-dependent Schrödinger Equations Having Isomorphic Symmetry Algebras. Ii. Symmetry Algebras, Coherent and Squeezed States
نویسندگان
چکیده
Using the transformations from paper I, we show that the Schrödinger 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 numberoperator 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.
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