Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case

Details Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case

2004-08-02

arxiv.org/abs/math-ph/0408003v2

J. Phys. A: Math. Gen. 38 (2005) 4769-4781

Physics

Mathematical Physics

LaTeX2e, 15 pages

Scientific paper

10.1088/0305-4470/38/22/002

We study the time evolution of a three dimensional quantum particle, initially in a bound state, under the action of a time-periodic zero range interaction with ``strength'' (\alpha(t)). Under very weak generic conditions on the Fourier coefficients of (\alpha(t)), we prove complete ionization as (t \to \infty). We prove also that, under the same conditions, all the states of the system are scattering states.

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