Electron-hydrogen atom scattering in the presence of an electromagnetic field

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Abstract
The scattering of an electron with a hydrogen atom in the presence of an electromagnetic field has been considered here. A differential cross section formula has been obtained for the process in which the atom gets excited by the combined action of the electron and the electromagnetic field. Two limiting cases of the scattering amplitude have been studied explicitly: the Born approximation limit and the low frequency limit. As a byproduct of this calculation a differential cross section formula is obtained for the inverse bremsstrahlung process which contains the form factor of the atom.