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Communication Dans Un Congrès Année : 2021

On semi-classical spectral series for an atom in a periodic polarized electric field

Résumé

We consider the 3-D time-dependent Schrödinger operator H(t) = −h 2 ∆ + V + E(t) • x where V is a radial potential and E(t) a circularly polarized field with uniform frequency ω. Floquet operator that takes the system through a complete period T = 2π/ω, turns out to be unitarily equivalent to e iT P A (x,hDx)/h. Up to a linear gauge transformation, P A (x, hDx)) identifies with a magnetic Schrödinger operator with a double well. In case V is sufficiently confining, we construct the semi-classical ground state of P A and examine the splitting between its two first eigenvalues.
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Dates et versions

hal-03295047 , version 1 (21-07-2021)
hal-03295047 , version 2 (22-10-2021)

Identifiants

  • HAL Id : hal-03295047 , version 2

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A Ifa, H Louati, Michel L. Rouleux. On semi-classical spectral series for an atom in a periodic polarized electric field. Days of Diffraction 2021, May 2021, Saint Petersbourg, Russia. ⟨hal-03295047v2⟩
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