Wave equations onq-Minkowski space
Copyright policy )Wave equations onq-Minkowski space
We give a systematic account of the exterior algebra of forms on q-Minkowski space, introducing the q-exterior derivative, q-Hodge star operator, q-coderivative, q-Laplace-Beltrami operator and the q-Lie-derivative. With these tools at hand, we then give a detailed exposition of the q-d'Alembert and q-Maxwell equation. For both equations we present a q-momentum-indexed family of plane wave solutions. We also discuss the gauge freedom of the q-Maxwell field and give a q-spinor analysis of the q-field strength tensor.
29 pages, DAMTP/94-10, LATEX
- University of Cambridge United Kingdom
58B30, \(q\)-d'Alembert, coderivative, High Energy Physics - Theory, Hyperbolic equations on manifolds, FOS: Physical sciences, \(q\)-Maxwell equation, Lie-derivative, Noncommutative topology, 81Q05, 81R50, non-commutative spacetime, High Energy Physics - Theory (hep-th), Hodge star operator, Laplace-Beltrami operator, braided differential geometry, Noncommutative differential geometry, wave equations, exterior derivative, Electromagnetic interaction; quantum electrodynamics, Quantum groups and related algebraic methods applied to problems in quantum theory, quantum Minkowski space
58B30, \(q\)-d'Alembert, coderivative, High Energy Physics - Theory, Hyperbolic equations on manifolds, FOS: Physical sciences, \(q\)-Maxwell equation, Lie-derivative, Noncommutative topology, 81Q05, 81R50, non-commutative spacetime, High Energy Physics - Theory (hep-th), Hodge star operator, Laplace-Beltrami operator, braided differential geometry, Noncommutative differential geometry, wave equations, exterior derivative, Electromagnetic interaction; quantum electrodynamics, Quantum groups and related algebraic methods applied to problems in quantum theory, quantum Minkowski space
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