WAVE-EQUATIONS ON Q-MINKOWSKI SPACE

Authors
Citation
U. Meyer, WAVE-EQUATIONS ON Q-MINKOWSKI SPACE, Communications in Mathematical Physics, 174(3), 1996, pp. 457-475
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
174
Issue
3
Year of publication
1996
Pages
457 - 475
Database
ISI
SICI code
0010-3616(1996)174:3<457:WOQS>2.0.ZU;2-6
Abstract
We give a systematic account of a ''component approach'' to the algebr a of forms on q-Minkowski space, introducing the corresponding exterio r derivative, Hedge star operator, coderivative, Laplace-Beltrami oper ator and Lie-derivative. Using this (braided) differential geometry, w e then give a detailed exposition of the q-d'Alembert and q-Maxwell eq uation and discuss same of their non-trivial properties, such as for i nstance, plane wave solutions. For the q-Maxwell field, we also give a q-spinor analysis of the q-field strength tensor.