Result: A SUSY approach for investigation of two-dimensional quantum mechanical systems

Title:
A SUSY approach for investigation of two-dimensional quantum mechanical systems
Authors:
IOFFE, Mikhail V
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):10363-10374
Publisher Information:
Bristol: Institute of Physics, 2004.
Publication Year:
2004
Physical Description:
print, 22 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, Physiques classique et quantique: mécanique et champs, Classical and quantum physics: mechanics and fields, Mécanique quantique, Quantum mechanics, 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, Etat propre, Eigenstates, Fonction propre, Eigenfunctions, Hamiltonien, Hamiltonians, Invariance, Modèle 2 dimensions, Two dimensional model, Modelo 2 dimensiones, Mécanique quantique supersymétrique, Supersymmetric quantum mechanics, Opérateur Schrödinger, Schrödinger operator, Operador Schrodinger, Ordre 1, First order, Orden 1, Ordre 2, Second order, Orden 2, Potentiel Morse, Morse potential, Supersymétrie, Supersymmetry, Système 2 dimensions, Two-dimensional systems, Système quantique, Quantum system, Sistema cuántico, Valeur propre, Eigenvalues
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Theoretical Physics, St Petersburg State University, 198504 St Petersburg, Russian Federation
ISSN:
0305-4470
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16222671
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
Notes:
Mathematics

Physics of elementary particles and fields

Theoretical physics
Accession Number:
edscal.16222671
Database:
PASCAL Archive

Further Information

Different ways to incorporate two-dimensional systems which are not amenable to separation of variables treatment into the framework of supersymmetrical quantum mechanics (SUSY QM) are analysed. In particular, the direct generalization of one-dimensional Witten SUSY QM is based on supercharges of first order in momenta and allows one to connect the eigenvalues and eigenfunctions of two scalar and one matrix Schrödinger operators. The use of second-order supercharges leads to polynomial supersymmetry and relates a pair of scalar Hamiltonians, giving a set of partner systems with almost coinciding spectra. This class of systems can be studied by means of a new method of SUSY separation of variables, where supercharges allow separation of variables, but Hamiltonians do not. The method of shape invariance is generalized to two-dimensional models in order to construct purely algebraically a chain of eigenstates and eigenvalues for generalized Morse potential models in two dimensions.