Eur. Phys. J. D 14, 43-47 (2001)
https://doi.org/10.1007/s100530170233

Propagator of an electron in a cavity in the presence of a coherent photonic field

Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, 48 Vasileos Constantinou Avenue, 11635 Athens, Greece

Corresponding author: ^a egthra@hol.gr

Received: 17 March 2000
Revised: 19 December 2000
Published online: 15 April 2001

Abstract

In the present paper we consider the case of an electron under the presence of a single mode field in a cavity linearly polarized in the z-direction. We adopt the dipole approximation and we derive the full propagator of the electron. In the present case we suppose that the field is in a coherent state. The parameters of the propagator involve Mathieu functions. Finally we extract the time evolution of an initially Gaussian wavepacket and its probability density. The present theory is applicable to the interaction of strong fields with atoms.