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
Geometry in total absolute curvature theory
GEOMETRIE
COURBURE
VARIETES
This is a (incomplete) report on geometrical results of the last twenty five years in the theory of total absolute curvature, in particular concerning its minimal value in certain classes of embeddings of manifolds.
KUIPER
M/84/08
IHES
03/1984
A4
12 f.
EN
TEXTE
PREPUBLICATION
M_84_08.pdf
1984
Total curvature for knotted surfaces
COURBURE
SURFACES NOUEES
MATHEMATIQUES
KUIPER
MEEKS
M/83/37
IHES
06/1983
A4
37 f.
EN
TEXTE
PREPUBLICATION
M_83_37.pdf
1983