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Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces

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Abstract

Covariant differential calculi and exterior algebras on quantum homogeneous spaces endowed with the action of inhomogeneous quantum groups are classified. In the case of quantum Minkowski spaces they have the same dimensions as in the classical case. Formal solutions of the corresponding Klein-Gordon and Dirac equations are found. The Fock space construction is sketched.

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  1. P. Podleś

    Present address: Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoża 74, 00-682, Warszawa, Poland

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    P. Podleś

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  1. P. Podleś
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Communicated by A. Connes

This research was supported in part by NSF grant DMS-9508597 and in part by Polish KBN grant No. 2 P301 02007.

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Podleś, P. Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces. Commun.Math. Phys. 181, 569–585 (1996). https://doi.org/10.1007/BF02101287

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