6533b830fe1ef96bd129655c

RESEARCH PRODUCT

Closed form for two-photon free–free transition matrix elements

Erna Karule

subject

RadiationPhotonAmplitudeTwo-photon excitation microscopyChemistryQuantum mechanicsIonizationCoulombStochastic matrixConfiguration spaceFunction (mathematics)

description

Abstract Two-photon free–free transitions happen in the multiphoton ionization with more than one excess photon and in bremsstralung. Up to now, the configuration space free–free transition amplitudes have not been written in closed form. We propose a modified Coulomb Green’s function (CGF) Sturmian expansion which allows one to obtain expressions for two-photon radial transition matrix elements in the closed form which are easy to continue analytically to calculate free–free transitions in H.

https://doi.org/10.1016/s0969-806x(00)00286-3