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.
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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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