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

Vernadsky National Library of Ukraine

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Title Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
 
Creator Carignano, A.
Fatibene, L.
McLenaghan, R.L.
Rastelli, G.
 
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.
 
Date 2019-02-13T18:29:36Z
2019-02-13T18:29:36Z
2011
 
Type Article
 
Identifier Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds / A. Carignano , L. Fatibene, R.G. McLenaghan, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 25 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 70S10; 81Q80
DOI:10.3842/SIGMA.2011.057
http://dspace.nbuv.gov.ua/handle/123456789/147178
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України