Heisenberg picture approach to the invariants and the exact quantum motions for coupled parametric oscillators

Details Heisenberg picture approach to the invariants and the exact quantum motions for coupled parametric oscillators Heisenberg picture approach to the invariants and the exact quantum motions for coupled parametric oscillators

1998-08-04

arxiv.org/abs/quant-ph/9808003v1

J.Phys. A31 (1998) L689-L693

Physics

Quantum Physics

8 pages, revTeX

Scientific paper

10.1088/0305-4470/31/39/002

For $N$-coupled generalized time-dependent oscillators, primary invariants
and a generalized invariant are found in terms of classical solutions. Exact
quantum motions satisfying the Heisenberg equation of motion are also found.
For number states and coherent states of the generalized invariant, the
uncertainties in positions and momenta are obtained.

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