Quantum mechanics in strong time dependent external fields. (English) Zbl 0621.58036

Author’s summary: ”In quantum mechanics, time dependent Hamiltonians are most often studied by perturbation methods, the amplitude of the unsteady force being assumed to be small. On two examples (two level system with a large time dependent coupling, and atoms in large external unsteady field), we show that the opposite limit (large time dependent field) can be analyzed in some detail too. For a particle in a central potential and submitted to a large periodic external field, one is led to make a Kapitza averaging because the intrinsic frequency tends to zero when the external field diverges. In that way one has to introduce a steady effective potential with singular turning points.”
Reviewer: R.Schmid


58Z05 Applications of global analysis to the sciences
81Q99 General mathematical topics and methods in quantum theory
37-XX Dynamical systems and ergodic theory
Full Text: Numdam EuDML


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