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Quantum groups, orthogonal polynomials and applications to some dynamical systems; Groupes quantiques, polynomes orthogonaux et applications a quelques systemes dynamiques

Abstract

The first part is concerned with the introduction of quantum groups as an extension of Lie groups. In particular, we study the case of unitary enveloping algebras in dimension 2. We then connect the quantum group formalism to the construction of g CGC recurrent relations. In addition, we construct g-deformed Krawtchouck and Meixner orthogonal polynomials and list their respective main characteristics. The second part deals with some dynamical systems from a classical, a quantum and a gp-analogue point of view. We investigate the Coulomb Kepler system by using the canonical namical systems which contain as special cases some interesting systems for nuclear of atomic physics and for quantum chemistry, such as the Hartmann system, the ring-shaped oscillator, the Smarodinsky-Winternitz system, the Aharonov-Bohen system and the dyania of Dirac and Schroedinger. (author). 291 refs.
Authors:
Publication Date:
Dec 01, 1993
Product Type:
Thesis/Dissertation
Report Number:
LYCEN-T-93-55
Reference Number:
SCA: 661100; 662110; PA: AIX-28:060192; EDB-97:122015; SN: 97001844928
Resource Relation:
Other Information: DN: 291 refs.; TH: These (D. es Sc.).; PBD: Dec 1993
Subject:
66 PHYSICS; LIE GROUPS; POLYNOMIALS; ALGEBRA; ATOMIC MODELS; BOSONS; CANONICAL TRANSFORMATIONS; CLEBSCH-GORDAN COEFFICIENTS; DYNAMICAL GROUPS; FOCK REPRESENTATION; HARMONIC OSCILLATOR MODELS; HARTMANN NUMBER; QUANTUM MECHANICS; QUANTUM OPERATORS; RECURSION RELATIONS
OSTI ID:
519763
Research Organizations:
Lyon-1 Univ., 69 - Villeurbanne (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
French
Other Identifying Numbers:
Other: ON: DE97640405; TRN: FR9502758060192
Availability:
INIS; OSTI as DE97640405
Submitting Site:
FRN
Size:
139 p.
Announcement Date:
Sep 23, 1997

Citation Formats

Campigotto, C. Quantum groups, orthogonal polynomials and applications to some dynamical systems; Groupes quantiques, polynomes orthogonaux et applications a quelques systemes dynamiques. France: N. p., 1993. Web.
Campigotto, C. Quantum groups, orthogonal polynomials and applications to some dynamical systems; Groupes quantiques, polynomes orthogonaux et applications a quelques systemes dynamiques. France.
Campigotto, C. 1993. "Quantum groups, orthogonal polynomials and applications to some dynamical systems; Groupes quantiques, polynomes orthogonaux et applications a quelques systemes dynamiques." France.
@misc{etde_519763,
title = {Quantum groups, orthogonal polynomials and applications to some dynamical systems; Groupes quantiques, polynomes orthogonaux et applications a quelques systemes dynamiques}
author = {Campigotto, C}
abstractNote = {The first part is concerned with the introduction of quantum groups as an extension of Lie groups. In particular, we study the case of unitary enveloping algebras in dimension 2. We then connect the quantum group formalism to the construction of g CGC recurrent relations. In addition, we construct g-deformed Krawtchouck and Meixner orthogonal polynomials and list their respective main characteristics. The second part deals with some dynamical systems from a classical, a quantum and a gp-analogue point of view. We investigate the Coulomb Kepler system by using the canonical namical systems which contain as special cases some interesting systems for nuclear of atomic physics and for quantum chemistry, such as the Hartmann system, the ring-shaped oscillator, the Smarodinsky-Winternitz system, the Aharonov-Bohen system and the dyania of Dirac and Schroedinger. (author). 291 refs.}
place = {France}
year = {1993}
month = {Dec}
}