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Title: Quantum field theory of the free-electron laser

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 Schroedinger equation in a self-consistent field. The fluctuations around such a Schroedinger wave function are shown to be O(1/ ..sqrt..N ) and computable by a perturbative strategy. A number of observations are also reported on the best strategy to solve the Schroedinger equation.

Authors:
Publication Date:
Research Org.:
Dipartimento di Fisica, Universita degli Studi di Milano, via Celoria 16, I-20133 Milano, Italy
OSTI Identifier:
6973548
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 38:1
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; FREE ELECTRON LASERS; QUANTUM FIELD THEORY; DYNAMICS; ELECTRONS; HAMILTONIANS; MANY-BODY PROBLEM; SCHROEDINGER EQUATION; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD THEORIES; LASERS; LEPTONS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS; 420300* - Engineering- Lasers- (-1989)

Citation Formats

Preparata, G. Quantum field theory of the free-electron laser. United States: N. p., 1988. Web. doi:10.1103/PhysRevA.38.233.
Preparata, G. Quantum field theory of the free-electron laser. United States. https://doi.org/10.1103/PhysRevA.38.233
Preparata, G. 1988. "Quantum field theory of the free-electron laser". United States. https://doi.org/10.1103/PhysRevA.38.233.
@article{osti_6973548,
title = {Quantum field theory of the free-electron laser},
author = {Preparata, G},
abstractNote = {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 Schroedinger equation in a self-consistent field. The fluctuations around such a Schroedinger wave function are shown to be O(1/ ..sqrt..N ) and computable by a perturbative strategy. A number of observations are also reported on the best strategy to solve the Schroedinger equation.},
doi = {10.1103/PhysRevA.38.233},
url = {https://www.osti.gov/biblio/6973548}, journal = {Phys. Rev. A; (United States)},
number = ,
volume = 38:1,
place = {United States},
year = {Fri Jul 01 00:00:00 EDT 1988},
month = {Fri Jul 01 00:00:00 EDT 1988}
}