Treffer: Polynomial Heisenberg algebras
Title:
Polynomial Heisenberg algebras
Source:
International Conference on Progress in Supersymmetric Quantum Mechanics (PSQM'03) (Valladolid, Spain, 15-19 July 2003)Journal of physics. A, mathematical and general. 37(43):10349-10362
Publisher Information:
Bristol: Institute of Physics, 2004.
Publication Year:
2004
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Théorie des fonctions, analyse, Function theory, analysis, Fonctions spéciales, Special functions, Physiques classique et quantique: mécanique et champs, Classical and quantum physics: mechanics and fields, Mécanique quantique, Quantum mechanics, Solutions d'équations d'onde: états liés, Solutions of wave equations: bound states, Physique des particules elementaires et champs, The physics of elementary particles and fields, Théorie générale des champs et particules, General theory of fields and particles, Symétries et lois de conservation, Symmetry and conservation laws, Supersymétrie, Supersymmetry, Déformation, Deformation, Modèle Heisenberg, Heisenberg model, Ordre 1, First order, Orden 1, Oscillateur harmonique, Harmonic oscillators
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
ESFM and ESIA, Instituto Politécnico Nacional, U P Adolfo López Mateos, 07738 México DF, Mexico
Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico
Departamento de Física Teórica, Universidad de Valladolid, 47005 Valladolid, Spain
Departamento de Física, CINVESTAV, AP 14-740, 07000 México DF, Mexico
Departamento de Física Teórica, Universidad de Valladolid, 47005 Valladolid, Spain
ISSN:
0305-4470
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Physics of elementary particles and fields
Theoretical physics
Physics of elementary particles and fields
Theoretical physics
Accession Number:
edscal.16222670
Database:
PASCAL Archive
Weitere Informationen
Polynomial deformations of the Heisenberg algebra are studied in detail. Some of their natural realizations are given by the higher order susy partners (and not only by those of first order, as is already known) of the harmonic oscillator for even-order polynomials. Here, it is shown that the susy partners of the radial oscillator play a similar role when the order of the polynomial is odd. Moreover, it will be proved that the general systems ruled by such kinds of algebras, in the quadratic and cubic cases, involve Painlevé transcendents of types IV and V, respectively.