2004/08/31 by Michele Correggi, Gianfausto Dell'Antonio, Gianfausto Dell’Antonio
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/38/22/002
published as J. Phys. A: Math. Gen. 38 (2005) 4769-4781 · LaTeX2e, 15 pages
arxiv created 2004/10/12 · openalex publication_date 2005/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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' α( t ). Under very weak generic conditions on the Fourier coefficients of α( t ), we prove complete ionization as t → ∞ . We prove also that, under the same conditions, all the states of the system are scattering states.