Dynamical systems with turbulent behavior
CONGRES ET CONFERENCES
SYSTEMES DYNAMIQUES
ENTROPIE
RADON
[Text of a talk presented at the International Mathematical Physics Conference in Rome, 1977]
RUELLE
P/77/189
IHES
10/1977
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_77_189.pdf
1977
Rydberg states of atoms and molecules. Basic group theoretical and topological analysis
ETATS DE RYDBERG
ATOMES
HYDROGENE
CHAMPS ELECTROMAGNETIQUES
Abstract : Rydberg states of atoms and molecules are studied within the qualitative approach-based primarily on topological and group theoretical analysis. The correspondence between classical and quantum mechanics is explored to apply the results of qualitative (topological) approach to classical mechanics developed by PoincarĂ©, Lyapounov and Smale to quantum problems. The study of the action of the symmetry group of the problems considered on the classical phase space enables us to predict qualitative features of the energy level patterns for quantum Rydberg operators.
MICHEL
ZHILINSKII
P/97/54
IHES
07/1997
A4
41 f.
EN
TEXTE
PREPUBLICATION
P_97_54.pdf
1997