Using the Madelung transformation we show that in a quantum free-electron laser the beam obeys the equations of a quantum fluid in which the potential is the classical potential plus a quantum potential. The classical limit is shown explicitly.
Quantum-fluid description of the free-electron laser / BONIFACIO RODOLFO, N. Piovella, G.R.M. Robb, A. Serbeto. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 79:1(2009), pp. 015801.1-015801.3.
Quantum-fluid description of the free-electron laser
BONIFACIO RODOLFO;N. Piovella;
2009
Abstract
Using the Madelung transformation we show that in a quantum free-electron laser the beam obeys the equations of a quantum fluid in which the potential is the classical potential plus a quantum potential. The classical limit is shown explicitly.
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