|
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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma615 https://www.mathnet.ru/eng/sigma/v7/p57
|
Statistics & downloads: |
Abstract page: | 529 | Full-text PDF : | 43 | References: | 35 |
|