Physics – Mathematical Physics
Scientific paper
2006-08-16
J. Phys. A: Math. Gen. 33 pp. 1--9 (2000)
Physics
Mathematical Physics
Scientific paper
We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength r and frequency omega. Starting with the system in the bound state, the survival probability is for small r given by exp(-Gamma t) for times of order GAMMA^(-1)~r^(-2n) where n is the minimum number of 'photons' required for ionization (with large modifications at resonances). For late times the decay is as t^(-3) with the power law modulated by oscillations. As r increases, the time over which there is exponential decay becomes shorter and the power law behaviour starts earlier. Results are for a parametrically excited one-dimensional system with zero-range potential but comparison with analyticalworks and with experiments indicates that many features are general.
Costin Ovidiu
Lebowitz Joel
Rokhlenko Alexander
No associations
LandOfFree
Exact Results for the Ionization of a Model Quantum System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Results for the Ionization of a Model Quantum System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Results for the Ionization of a Model Quantum System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-220061