Classical and Quantum Description of Rydberg Atom
This Chapter is devoted to an isolated highly excited atom which is not affected by any external interactions or fields. We start with a purely classical consideration of highly excited electron motion, and then give a review of various methods for describing the Rydberg atom wave functions in the coordinate and momentum representations. In addition to quantum expressions, we describe the semiclassical methods including the standard JWKB approximation for the radial and angular wave functions as well as the action variables approach. Special attention is paid to the derivation of explicit expressions for the Coulomb Green’s function, the density matrix, classical and quantum distribution functions of the Rydberg electron momentum and coordinate. The methods presented in this chapter are widely used in modern theory of Rydberg states. They will be the basis for the majority of the problems considered in this book.
KeywordsWave Function Density Matrix Action Variable Wigner Function Rydberg State
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