Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds

Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds

A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's...

Full description

Bibliographic Details
Main Authors: Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Dirac equation
symmetry operators
separation of variables
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.057
id doaj-8ab995a0f0af444cb5fad8b87015b0f7
record_format Article
spelling doaj-8ab995a0f0af444cb5fad8b87015b0f72020-11-24T23:02:48ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-06-017057Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin ManifoldsAlberto CarignanoLorenzo FatibeneRaymond G. McLenaghanGiovanni RastelliA signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's equation by separation of variables in the case where a second-order symmetry operator underlies the separation. Separation of variables in complex variables on two-dimensional Minkowski space is also considered.http://dx.doi.org/10.3842/SIGMA.2011.057Dirac equationsymmetry operatorsseparation of variables
collection DOAJ
language English
format Article
sources DOAJ
author Alberto Carignano
Lorenzo Fatibene
Raymond G. McLenaghan
Giovanni Rastelli
spellingShingle Alberto Carignano
Lorenzo Fatibene
Raymond G. McLenaghan
Giovanni Rastelli
Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
Symmetry, Integrability and Geometry: Methods and Applications
Dirac equation
symmetry operators
separation of variables
author_facet Alberto Carignano
Lorenzo Fatibene
Raymond G. McLenaghan
Giovanni Rastelli
author_sort Alberto Carignano
title Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
title_short Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
title_full Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
title_fullStr Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
title_full_unstemmed Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
title_sort symmetry operators and separation of variables for dirac's equation on two-dimensional spin manifolds
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-06-01
description A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's equation by separation of variables in the case where a second-order symmetry operator underlies the separation. Separation of variables in complex variables on two-dimensional Minkowski space is also considered.
topic Dirac equation
symmetry operators
separation of variables
url http://dx.doi.org/10.3842/SIGMA.2011.057
work_keys_str_mv AT albertocarignano symmetryoperatorsandseparationofvariablesfordiracsequationontwodimensionalspinmanifolds
AT lorenzofatibene symmetryoperatorsandseparationofvariablesfordiracsequationontwodimensionalspinmanifolds
AT raymondgmclenaghan symmetryoperatorsandseparationofvariablesfordiracsequationontwodimensionalspinmanifolds
AT giovannirastelli symmetryoperatorsandseparationofvariablesfordiracsequationontwodimensionalspinmanifolds
_version_ 1725635072516685824

Similar Items