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

Abstract

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.

8 pages, revTeX

References in corpus (1)

• Time-Dependent Diffeomorphisms as Quantum Canonical Transformations and the Time-Dependent Harmonic Oscillator

Cited by in corpus (4)

• Dynamical normal modes for time-dependent Hamiltonians in two dimensions
• Phase-Induced (In)-Stability in Coupled Parametric Oscillators
• Second Quantized Scalar QED in Homogeneous Time-Dependent Electromagnetic Fields
• Nonadiabaticity of Quantum harmonic oscillators