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Conference: Bucharest University Faculty of Physics 2001 Meeting

Section: Theoretical Physics and Applied Mathematics

Title:

SHADOW STATES OF THE THREE DIMENSIONAL DELTA POTENTIAL

Authors:

Boca Madalina

Affiliation:

Boca Madalina

Department of Physics, University of Bucharest, Bucharest-Magurele, R-76900 Romania

E-mail

Keywords:

Abstract:

In [1] a transcendental equation for the determination of the quasienergy that is connected to the unique bound state of a particle in a three - dimensional delta ootential and in a monochromatic circularly polarized electro-magnetic field, in the dipole approximation, was found and solved numerically. The dependence of the quasi-energy of the ground state on the field intensity is calculated. We show that the method presented in [1] may be used also for the calculation of the quasi-energies of the shadow states. We observed phenomena as the materialisation of the light - induced Floquet states ( LIS ) from unphysical shadow state and the disappearance of the physical states at the threshold. [1] I. J. Berson, J. Phys. B. 8,3078 (1975)