SEMICLASSICAL THEORY OF RAMAN FREE-ELECTRON LASERS | Zendy

LI ZHI-KUAN | Zendy

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SEMICLASSICAL THEORY OF RAMAN FREE-ELECTRON LASERS

Author(s) -

LI ZHI-KUAN

Publication year - 1996

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.45.1812

Subject(s) - wkb approximation , semiclassical physics , physics , perturbation theory (quantum mechanics) , electron , wave function , quantum mechanics , quantum electrodynamics , laser , classical electron radius , current density , charge density , electric charge , quantum

In this paper, we point out that the problem of a system of many particles can be simplified into that of a single electron by using Thomas-Fermi potential in Raman free-electron lasers. Klein-Gordon equation is solved by using perturbation theory. The formula of the density of electric charge and current density are derived from the corresponding zero order wave function. If we simplify properly the Klein-Gordon equation, we can solved by using the methods of seperation of variables and WKB approximation. We also derived the formula of the electric charge and current density which correspond to the new wave function.

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