Conservation laws for linear equations on quantum Minkowski spaces

Details Conservation laws for linear equations on quantum Minkowski spaces Conservation laws for linear equations on quantum Minkowski spaces

1997-03-21

arxiv.org/abs/hep-th/9703151v1

Commun.Math.Phys. 192 (1998) 29-45

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX file

Scientific paper

10.1007/s002200050289

The general, linear equations with constant coefficients on quantum Minkowski spaces are considered and the explicit formulae for their conserved currents are given. The proposed procedure can be simplified for *-invariant equations. The derived method is then applied to Klein-Gordon, Dirac and wave equations on different classes of Minkowski spaces. In the examples also symmetry operators for these equations are obtained. They include quantum deformations of classical symmetry operators as well as an additional operator connected with deformation of the Leibnitz rule in non-commutative differential calculus.

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