Faculty of Physics - University of Bucharest

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FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2006 Meeting

Section: Quantum Mechanics and Statistical Physics Seminar

Title:

Generalized space-translation approach for the Dirac equation

Authors:

Madalina Boca(1), Viorica Florescu(1) and Mihai Gavrila(2)

Affiliation:

(1) Department of Physics, University of Bucharest, Bucharest-Magurele, MG11, 76900, Romania

(2) FOM Institute for Atomic and Molecular Physics, Amsterdam, 1098 SJ, The Netherlands

E-mail

boca@barutu.fizica.unibuc.ro

Keywords:

Dirac, laser pulse, Kramers-Henneberger

Abstract:

We study a relativistic generalization of the Kramers-Henneberger transformation applied for an atom interacting with a plane-wave laser pulse. Our method, similar to that introduced by Krstic and Mittleman [1] for the monochromatic case, is based on a unitary transformation connecting the standard representation of the Dirac equation for a particle in the laser field to the free-particle Dirac equation in the Foldy-Wouthuysen representation. It leads to a Dirac equation containing the electromagnetic field only via a modified potential V`. We discuss a possible approximation of the translated equation leading to a Schrodinger-like equation, applicable for atoms with low atomic number. We study the properties of the translated potential and an efficient method for integrating the time-dependent equation. [1] P. S. Krstic and M. H. Mittleman, Phys. Rev. A, 42, 4037 (1990); 45, 6514 (1992).