Quantum field theory of the free-electron laser
- 1 July 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (1) , 233-237
- https://doi.org/10.1103/physreva.38.233
Abstract
A simple N-electron free-electron-laser (FEL) Hamiltonian is seen to define a (1+1)-dimensional quantum field theory. For large N, the FEL dynamics is shown to be solved by a single-electron Schrödinger equation in a self-consistent field. The fluctuations around such a Schrödinger wave function are shown to be O(1/ √N ) and computable by a perturbative strategy. A number of observations are also reported on the best strategy to solve the Schrödinger equation.Keywords
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