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Journal of Nanophotonics

Quantum fluctuations of electrons in free-electron laser undulator working at nanowavelength
Author(s): Andrey Angelow; Todorka L. Dimitrova; Dimitar A. Trifonov; Vladimir Angelov; Hristo A. Hristov
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Paper Abstract

A new (nonrelativistic) model for electron-beam dynamics in a free-electron laser undulator was formulated using the method of linear invariants of quantum-mechanical charge particle. The magnetic field varies periodically along the undulator. We obtained an exact solution for this quantum-mechanical problem described by quadratic Hamiltonian. The time-evolutions of the tree independent quantum fluctuations [cov(q,p), var(q), and var(p)] of the electrons were determined. The quantum behavior shows covariance states which are different from the well-known coherent and squeezed states. On the basis of the quantum approach applied here, further exploration of Madey formula for Δλ of emitted photons was done and the low limit of the electron energy was determined, below which the quantum uncertainty prevails the energy spread of the beam.

Paper Details

Date Published: 1 January 2011
PDF: 10 pages
J. Nanophoton. 5(1) 051823 doi: 10.1117/1.3624521
Published in: Journal of Nanophotonics Volume 5, Issue 1
Show Author Affiliations
Andrey Angelow, Institute of Solid State Physics (Bulgaria)
Todorka L. Dimitrova, The Paissi Hilendarski Univ. of Plovdiv (Bulgaria)
Dimitar A. Trifonov, Institute for Nuclear Research and Nuclear Energy (Bulgaria)
Vladimir Angelov, Institute for Nuclear Research and Nuclear Energy (Bulgaria)
Hristo A. Hristov, The Paissi Hilendarski Univ. of Plovdiv (Bulgaria)


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