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.
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Received 17 March 2000 and Received in final form 19 December 2000
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Thrapsaniotis, E. Propagator of an electron in a cavity in the presence of a coherent photonic field. Eur. Phys. J. D 14, 43–47 (2001). https://doi.org/10.1007/s100530170233
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DOI: https://doi.org/10.1007/s100530170233