Energy distribution of the quantum harmonic oscillator under random time-dependent perturbations.

@article{Garnier1999EnergyDO,
  title={Energy distribution of the quantum harmonic oscillator under random time-dependent perturbations.},
  author={Josselin Garnier},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={60 4 Pt A},
  pages={3676-87}
}
  • Josselin Garnier
  • Published 1999 in
    Physical review. E, Statistical physics, plasmas…
This paper investigates the evolution of a quantum particle in a harmonic oscillator driven by time-dependent forces. The perturbations are small, but they act long enough so that we can solve the problem in the asymptotic framework corresponding to a perturbation amplitude that tends to zero and a perturbation duration that tends to infinity. We describe the effective evolution equation of the state vector, which reads as a stochastic partial differential equation. We exhibit a closed-form… CONTINUE READING