REFLECTION AND DIFFRACTION OF ATOMIC DE BROGLIE WAVES BY EVANESCENT LASER WAVES - BARE-STATE METHOD

We present two results in an investigation of reflection and diffracti on of atoms by gratings formed either by standing or travelling evanes cent laser waves. Both results use the bare-state rather than dressed- state picture. One is based on the Born series, whereas the other is b ased on the Laplace transformation of the coupled differential equatio ns. The two solutions yield the same theoretical expressions for refle cted and diffracted atomic waves in the whole space, including the int eraction and the asymptotic regions.