Open AccessPERTURBATION SOLUTION FOR ELECTRON SCATTERED BY COULOMB POTENTIAL IN A WEAK LASER FIELD
Author(s) -
Jieping Li
Publication year - 1993
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.42.1034
Subject(s) - physics , floquet theory , quantum electrodynamics , coulomb , wave function , resonance (particle physics) , partial differential equation , ordinary differential equation , electron , quantum mechanics , schrödinger equation , perturbation (astronomy) , dipole , differential equation , nonlinear system
In a laser field, for the electron scattered by Coulomb potential, when the wave function is expanded by Floquet partial wave, the Schr?dinger equation separates into the radial form by separation of variables. The system of equations for the radial wave function is infinitely coupling linear second order differential equations. When weak laser field is aonsidered as a pertubation, the equations can be reduced into second order ordinary differential equations and they are integrable. The radial wave function S-matrix and the cross section are obtained. Finally, the resonance lines appear for different cases of polarizations no matter whether the dipole approximation is used. The resonance energies, the intensities of resonance lines are also obtained.