Open AccessWEAK COUPLING METHOD FOR TREATING THE SCATTE-RING OF ELECTRONS BY COULOMB POTENTIAL IN WEAK LASER FIELD
Author(s) -
Jieping Li
Publication year - 1990
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.39.38
Subject(s) - physics , floquet theory , wave function , unitary transformation , electron , discrete dipole approximation , quantum electrodynamics , coulomb , quantum mechanics , field (mathematics) , coupling (piping) , schrödinger equation , iterated function , dipole , nonlinear system , mathematical analysis , mechanical engineering , mathematics , pure mathematics , engineering , quantum
In a cicularly polarized radiation field (dipole approximation), for electrons scattered by Coulomb potential, the Schr?dinger equation is handled by using a unitary transformation and a dressed potential. When the dressed potential is expanded into a proper form, the equations for the radial wave function are separated by Floquet partial expansion and they are integrable in weak coupling approximation. Therefore, the approximate wave function, S-matrix and the cross section can be expressed analytically. The comparison to the numerical iterated solution is discussed.