Physics – Quantum Physics
Scientific paper
2003-07-30
J. Phys. A: Math. Gen. 36, 12065 (2003)
Physics
Quantum Physics
21 pages, 2 figures. v3: typos corrected
Scientific paper
10.1088/0305-4470/36/48/009
We investigate the time evolution of the decay (or ionization) probability of a D-dimensional model atom (D=1,2,3) in the presence of a uniform (i.e., static and homogeneous) background field. The model atom consists in a non-relativistic point particle in the presence of a point-like attractive well. It is shown that the model exhibits infinitely many resonances leading to possible deviations from the naive exponential decay law of the non-decay (or survival) probability of the initial atomic quantum state. Almost stable states exist due to the presence of the attractive interaction, no matter how weak it is. Analytic estimates as well as numerical evaluation of the decay rates are explicitly given and discussed.
Cavalcanti Ricardo M.
Giacconi Paola
Soldati Roberto
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