A nonlinear sum rule for atomic hydrogen

M. Katsuragawa, G. Z. Zhang, K. Hakuta

F. Bassani, Sandro Scandolo

Abstract New sum rules are obtained for the dispersive and dissipative parts of the nonlinear susceptibilities, applicable to pump and probe experimental situations. A three‐level model shows how they clarify the nonlinear lineshapes. A detailed calculation on atomic hydrogen shows how the sum rules allow a global estimate of the magnitude of nonlinear effects.

Isaac F. Silvera, Jook T. M. Walraven

John P. Vinti

Some new sum rules for atomic transition probabilities are developed; they are similar to the well-known rule of Kuhn, Reiche, and Thomas. They give, if unpolarized light is incident on any gaseous element in any given discrete energy level, the total absorption, excitation plus ionization, with various types of frequency weighting. The results are similar to those of Dirac and Harding, but are more general in that they apply to any discrete state of any atom, rather than to the ground state of hydrogen only. The method differs from that of Dirac and Harding.

Randell L Mills

Peter J. Mohr