Dynamical Invariants and Berry's Phase for Generalized Driven Harmonic Oscillators

Abstract

We present quadratic dynamical invariant and evaluate Berry's phase for the time-dependent Schroedinger equation with the most general variable quadratic Hamiltonian.

10 pages, no figures

References in corpus (5)

• The Cauchy Problem for a Forced Harmonic Oscillator
• The time-dependent Schroedinger equation, Riccati equation and Airy functions
• Soliton-like Solutions for Nonlinear Schroedinger Equation with Variable Quadratic Hamiltonians
• Representations of the Schrödinger group and matrix orthogonal polynomials
• On Integrability of Nonautonomous Nonlinear Schroedinger Equations

Cited by in corpus (4)

• The Minimum-Uncertainty Squeezed States for for Atoms and Photons in a Cavity
• The Berry Phase for Simple Harmonic Oscillators
• Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances
• On a Hidden Symmetry of Quantum Harmonic Oscillators