Treffer: A BPS interpretation of shape invariance
Title:
A BPS interpretation of shape invariance
Authors:
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):10397-10407
Publisher Information:
Bristol: Institute of Physics, 2004.
Publication Year:
2004
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Physiques classique et quantique: mécanique et champs, Classical and quantum physics: mechanics and fields, Mécanique quantique, Quantum mechanics, Méthodes algébriques, Algebraic methods, 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, Invariance, Invariant, Invariante, Modèle mécanique, Mechanical model, Modelo mecánico, Mécanique quantique supersymétrique, Supersymmetric quantum mechanics, Opérateur, Operator, Operador, Superalgèbre, Superalgebra
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Physics, Eaton Hall, Hobart and William Smith Colleges, Geneva, NY 14456, United States
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:
Physics of elementary particles and fields
Theoretical physics
Theoretical physics
Accession Number:
edscal.16222674
Database:
PASCAL Archive
Weitere Informationen
We show that shape invariance appears when a quantum mechanical model is invariant under a centrally extended superalgebra endowed with an additional symmetry generator, which we dub the shift operator. The familiar mathematical and physical results of shape invariance then arise from the BPS structure associated with this shift operator. The shift operator also ensures that there is a one-to-one correspondence between the energy levels of such a model and the energies of the BPS-saturating states. These findings thus provide a more comprehensive algebraic setting for understanding shape invariance.