Dynamical Localization in the Hydrogen Atom

Ciann‐Dong Yang

Saverio Bivona, Patrick F. O’Mahony, K T Taylor

Randell L Mills

Andreas Buchleitner, Dominique Delande

The ionization of hydrogen atoms by a microwave field is numerically studied, for the first time in a realistic picture, using a fully three-dimensional quantum approach with complete inclusion of the continuum. This provides first evidence for the persistence of dynamical localization in higher-dimensional systems. Comparison to the one-dimensional dynamics as well as to experimental results is given.

Zverev, Vladimir, BORIS Y. RUBINSTEIN

A new method for constructing of composite coherent states of the hydrogen atom, based on the dynamical group approach and various schemes of reduction to subgroups, is presented. A wide class of well-localized (Gaussian) hydrogenic wave packets for circular and elliptic orbits is found using the saddle-point method.

V. Fock