We derive a 1D quantum model for the free electron laser in terms of a Wigner function for the electron beam. We consider both the case of an unbounded space coordinate, for which the momentum is continuous, and the case of a periodic space coordinate, for which the momentum is discrete. The Wigner model extends the Schrodinger model, previously considered, since it also describes the evolution of a mixed state. Furthermore, the Wigner model shows explicitly the classical limit when the quantum FEL parameter rho is large. This model is also the starting point for a future extension to a 3D description of the electron dynamics. The results obtained here are also valid for the quantum description of the collective atomic recoil laser. (C) 2007 Elsevier B.V. All rights reserved.

A Wigner function model for free electron lasers / N., Piovella; M. M., Cola; L., Volpe; R., Gaiba; Schiavi, Angelo; R., Bonifacio. - In: OPTICS COMMUNICATIONS. - ISSN 0030-4018. - STAMPA. - 274:2(2007), pp. 347-353. [10.1016/j.optcom.2007.02.061]

A Wigner function model for free electron lasers

SCHIAVI, ANGELO;
2007

Abstract

We derive a 1D quantum model for the free electron laser in terms of a Wigner function for the electron beam. We consider both the case of an unbounded space coordinate, for which the momentum is continuous, and the case of a periodic space coordinate, for which the momentum is discrete. The Wigner model extends the Schrodinger model, previously considered, since it also describes the evolution of a mixed state. Furthermore, the Wigner model shows explicitly the classical limit when the quantum FEL parameter rho is large. This model is also the starting point for a future extension to a 3D description of the electron dynamics. The results obtained here are also valid for the quantum description of the collective atomic recoil laser. (C) 2007 Elsevier B.V. All rights reserved.
2007
01 Pubblicazione su rivista::01a Articolo in rivista
A Wigner function model for free electron lasers / N., Piovella; M. M., Cola; L., Volpe; R., Gaiba; Schiavi, Angelo; R., Bonifacio. - In: OPTICS COMMUNICATIONS. - ISSN 0030-4018. - STAMPA. - 274:2(2007), pp. 347-353. [10.1016/j.optcom.2007.02.061]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/137345
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