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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 057, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.057 (Mi sigma615) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

Alberto Carignanoa, Lorenzo Fatibeneb, Raymond G. McLenaghanc, Giovanni Rastellid

a Department of Engineering, University of Cambridge, United Kingdom
b Dipartimento di Matematica, Università di Torino, Italy
c Department of Applied Mathematics, University of Waterloo, Ontario, Canada
d Formerly at Dipartimento di Matematica, Università di Torino, Italy
Full-text PDF (309 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2011.057
Abstract: 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.
Keywords: Dirac equation; symmetry operators; separation of variables.
Received: February 1, 2011; in final form June 2, 2011; Published online June 15, 2011
Bibliographic databases:
Document Type: Article
MSC: 70S10; 81Q80
Language: English
Citation: Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli, “Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds”, SIGMA, 7 (2011), 057, 13 pp.
Citation in format AMSBIB
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\by Alberto Carignano, Lorenzo Fatibene, Raymond G.~McLenaghan, Giovanni Rastelli
\paper Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
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\vol 7
\papernumber 057
\totalpages 13
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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