Justification of the single-mode approximation for a finite-duration laser pulse interacting with an electron

The interaction Hamiltonian of an electron and a quasi-monochromatic pulse of a strong quantized electromagnetic field is examined. Canonical transformations of the field variables are found that allow the division of the system's Hamiltonian into two parts. The first one describes the interact...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2014-06, Vol.47 (11), p.1-11
Main Authors: Skoromnik, O D, Feranchuk, I D
Format: Article
Language:English
Subjects:
Approximation
Division
Electromagnetic fields
Exact sciences and technology
exact solution of the Dirac equation
Fluctuation
justification
Lasers
Mathematical analysis
Physics
Quantum electrodynamics
single-mode approximation
Specific theories and interaction models
particle systematics
Spreads
The physics of elementary particles and fields
Transformations
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Summary:The interaction Hamiltonian of an electron and a quasi-monochromatic pulse of a strong quantized electromagnetic field is examined. Canonical transformations of the field variables are found that allow the division of the system's Hamiltonian into two parts. The first one describes the interaction between an electron and a single collective mode of the field. The properties of this mode are defined by the superposition of the modes corresponding to the pulse wave packet. The second part describes the field fluctuations relatively to the collective mode. The field intensity, pulse duration and transversal spread are estimated for which a single-mode approximation can be used for the system's description.
ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/47/11/115601