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 Poincaré, 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
Unbounded, symmetric semigroups on a separable Hilbert space are essentially selfadjoint
SEMIGROUPES
ESPACES DE HILBERT
ANALYSE VECTORIELLE
FROHLICH
P/80/16
IHES
1980
A4
14 f.
EN
TEXTE
PREPUBLICATION
P_80_16.pdf
1980
Ouvrages de mathématiques et physique élaborés à l'IHES (1972-1973)
PUBLICATION
MATHEMATIQUES
PHYSIQUE
IHES
F3.3.1.2/2
IHES
21x29,7
11 f.
FR
EN
TEXTE
RAPPORT
F3_3_1_2_2.pdf
1974