Non-Factorizable Separable Systems and Higher-Order Symmetries of the Dirac Operator
Document Type
Article
Journal/Book Title/Conference
Proc. R. Soc. Lond.
Volume
428
Publication Date
1990
First Page
229
Last Page
249
Abstract
It is shown that there exist separable systems for the Dirac operator on four-dimensional lorentzian spin manifolds that are not factorizable in the sense of Miller. The symmetry operators associated to these new separable systems are of higher order than the Dirac operator. They are characterized in the second-order case in terms of quadratic first integrals of the geodesic flow satisfying additional invariant conditions.
Recommended Citation
Non-factorizable separable systems and higher-order symmetries of the Dirac operator, M.E. Fels, N. Kamran, Proc. R. Soc. Lond. A, 1990, 428, 229-249.
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