A simple new analytic expression has been obtained for the rate of inverse stimulated bremsstrahlung of slow electrons scattered by the Coulomb charge Ze . The initial and final electron energies are assumed to be small compared to the Rydberg energy mZ 2 e 4 / 2 . Weak linearly polarized light of frequency is considered, and only one-photon emission and absorption of the light are taken into account. High-frequency ( >>mv 3 /Ze 2 ) and low-frequency ( p 2 and the classical limit <<p 2 are… Expand