Abstract
We develop a theoretical formalism which provides a powerful tool for the detailed numerical analysis of the interaction of three-dimensional hydrogen atoms with an intense radiation field. The application of this approach to the microwave ionization of Rydberg states of hydrogen provides the most realistic numerical experiments ever made in this area. A thorough analysis of ionization signals and thresholds, of level dynamics and of the phase space projections of associated wave functions is provided for a one-dimensional model of the atom. The comparison to the ionization of three-dimensional atoms confirms the validity of the one-dimensional model for extended initial states and, hence, dynamical localization theory, as far as the ionization threshold is concerned. Three classes of three-dimensional initial states with distinct symmetries are identified and they appear to be more or less adapted to the symmetries of the eigenstates of the microwave problem. 'Scarred' wavefunctions of the three-dimensional hydrogen atom exposed to microwave field are shown. Finally, the dynamics of a circular state in a microwave and in an intense laser field are compared. (author)
Citation Formats
Buchleitner, A.
Rydberg states in a microwave field: regularity and chaos; Atomes de rydberg en champ micro-onde: regularite et chaos.
France: N. p.,
1993.
Web.
Buchleitner, A.
Rydberg states in a microwave field: regularity and chaos; Atomes de rydberg en champ micro-onde: regularite et chaos.
France.
Buchleitner, A.
1993.
"Rydberg states in a microwave field: regularity and chaos; Atomes de rydberg en champ micro-onde: regularite et chaos."
France.
@misc{etde_20771772,
title = {Rydberg states in a microwave field: regularity and chaos; Atomes de rydberg en champ micro-onde: regularite et chaos}
author = {Buchleitner, A}
abstractNote = {We develop a theoretical formalism which provides a powerful tool for the detailed numerical analysis of the interaction of three-dimensional hydrogen atoms with an intense radiation field. The application of this approach to the microwave ionization of Rydberg states of hydrogen provides the most realistic numerical experiments ever made in this area. A thorough analysis of ionization signals and thresholds, of level dynamics and of the phase space projections of associated wave functions is provided for a one-dimensional model of the atom. The comparison to the ionization of three-dimensional atoms confirms the validity of the one-dimensional model for extended initial states and, hence, dynamical localization theory, as far as the ionization threshold is concerned. Three classes of three-dimensional initial states with distinct symmetries are identified and they appear to be more or less adapted to the symmetries of the eigenstates of the microwave problem. 'Scarred' wavefunctions of the three-dimensional hydrogen atom exposed to microwave field are shown. Finally, the dynamics of a circular state in a microwave and in an intense laser field are compared. (author)}
place = {France}
year = {1993}
month = {Dec}
}
title = {Rydberg states in a microwave field: regularity and chaos; Atomes de rydberg en champ micro-onde: regularite et chaos}
author = {Buchleitner, A}
abstractNote = {We develop a theoretical formalism which provides a powerful tool for the detailed numerical analysis of the interaction of three-dimensional hydrogen atoms with an intense radiation field. The application of this approach to the microwave ionization of Rydberg states of hydrogen provides the most realistic numerical experiments ever made in this area. A thorough analysis of ionization signals and thresholds, of level dynamics and of the phase space projections of associated wave functions is provided for a one-dimensional model of the atom. The comparison to the ionization of three-dimensional atoms confirms the validity of the one-dimensional model for extended initial states and, hence, dynamical localization theory, as far as the ionization threshold is concerned. Three classes of three-dimensional initial states with distinct symmetries are identified and they appear to be more or less adapted to the symmetries of the eigenstates of the microwave problem. 'Scarred' wavefunctions of the three-dimensional hydrogen atom exposed to microwave field are shown. Finally, the dynamics of a circular state in a microwave and in an intense laser field are compared. (author)}
place = {France}
year = {1993}
month = {Dec}
}