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Wave equations onq-Minkowski space

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Abstract

We give a systematic account of a “component approach” to the algebra of forms onq-Minkowski space, introducing the corresponding exterior derivative, Hodge star operator, coderivative, Laplace-Beltrami operator and Lie-derivative. Using this (braided) differential geometry, we then give a detailed exposition of theq-d'Alembert andq-Maxwell equation and discuss some of their non-trivial properties, such as for instance, plane wave solutions. For theq-Maxwell field, we also give aq-spinor analysis of theq-field strength tensor.

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  1. D.A.M.T.P., University of Cambridge, Silver Street, CB39EW, Cambridge, UK

    U. Meyer

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  1. U. Meyer
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Communicated by M. Jimbo

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Meyer, U. Wave equations onq-Minkowski space. Commun.Math. Phys. 174, 457–475 (1996). https://doi.org/10.1007/BF02101524

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  • DOI: https://doi.org/10.1007/BF02101524

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