Applications of Group Theory to Quantum Physics : Algebraic Apects
THEORIE DES GROUPES
THEORIE QUANTIQUE
CONGRES ET CONFERENCES
ATOMES
MOLECULES
PHYSIQUE NUCLEAIRE
SYMETRIE
HADRONS
Lectures given at the 1969 Battelle Summer Rencontres in Mathematics and Physics. Seattle - Washington - USA
MICHEL
P/69/X032
IHES
09/1969
A4
97 f.
EN
TEXTE
PREPUBLICATION
P_69_X032.pdf
1969
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
Collapse of the Zeeman structure of the hydrogen atom in external electric field
CHAMP ELECTRIQUE CRISTALLIN
ATOMES
HYDROGENE
STRUCTURE MAGNETIQUE
Abstract : From Zeeman to Stark structure of a weakly split Rydberg n multiplet of the H atom in parallel magnetic and electric fields is analyzed. Classical mechanics together with topologiacl and group theoretical arguments enable us to describe in details the modifications of dynamics under the variation of electric field near the point where the collapse of magntic Zeeman structure is observed. Sequence of classical bifurcations responsible for the transition between different dynamic regimes is given. Comparison with quantum picture is done.
MICHEL
SADOVSKII
SHILINSKII
P/95/86
IHES
09/1995
A4
4 f.
EN
TEXTE
PREPUBLICATION
P_95_86.pdf
1995
New tests of the strong equivalence principle using binary-pulsar data
PULSARS
EXPLORATION DE DONNEES
INTERACTIONS GRAVITATIONNELLES
DAMOUR
SCHAFER
P/91/31
IHES
04/1991
A4
6 f.
EN
TEXTE
PREPUBLICATION
P_91_31.pdf
1991