Society for Industrial and Applied Mathematics eBooks
Chapter 3: Optimal control theory for quantum systems
Alfio Borzı̀, Gabriele Ciaramella, M. Sprengel
Abstract
In the introduction to this book, we mentioned the phenomenon of stimulated emission that Einstein explained in 1917 [140]. In this process, an incoming photon interacting with an electron in an excited energy state may result in the electron getting to a lower energy level while emitting, as a by-product, a photon with the same characteristics as the incident one. Similarly, in atomic absorption, the incident photon may cause an atomic transition where the electron acquires a higher energy level, consistently with Bohr's theory [51, 52] of atomic structure proposed in 1913. Advancing this development, a few years later James Franck started a theoretical investigation concerning photoinduced chemical reactions [154].