Wave equations onq-Minkowski space |
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Authors: | U Meyer |
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Institution: | (1) D.A.M.T.P., University of Cambridge, Silver Street, CB39EW Cambridge, UK |
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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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