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Physical Review A

Generalized optical theorem in coherent scattering

Ming Chiang Li

Published Mar 1, 1975• 3 citations
Publisher

Abstract

It is shown that the generalized optical theorem in quantum mechanics is a useful theorem in the scattering of two coherent beams.
DOI
10.1103/physreva.11.1101

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The optical theorem is a fundamental aspect of quantum scattering theory. Here, we generalize this theorem to the case where the incident scattering state is a superposition of internal states of the collision partners, introducing additional interference contributions and, e.g., providing a route to control the total integral cross section. As in its standard form, forward scattering plays an essential role in the generalized optical theorem, but with interference terms being related to the inelastic forward scattering amplitudes between states in the initial superposition. Using the resultant control index, we show that extensive control is possible over ultracold collisions of oxygen molecules in their rovibrational ground states, and of 85Rb-85Rb collisions, promising systems for the first experimental demonstration of the quantum interference control of the total scattering cross section.