EXACT NONRELATIVISTIC ANALYTICAL FORMULAE FOR THE ONE-PHOTON (n,l,m) ←→ CONTINUUM DIPOLE TRANSITIONS IN COULOMB FIELD

摘要

An exact and simple analytical expression is obtained for the matrix element describing the one-photon (n,l,m) ←→ continuum transitions in the nonrelativistic Coulomb dipole approximation. The momentum representation being used, considerable mathematical simplifications occur. The result is expressed in terms of elementary and well-known special functions.