Towards non-commutative deformations of relativistic wave equations in \(2+1\) dimensions

DOI10.3842/SIGMA.2014.053zbMath1296.83050arXiv1402.7039OpenAlexW2135785364MaRDI QIDQ401226

Bernd J. Schroers, Matthias Wilhelm

Publication date: 26 August 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7039

zbMATH Keywords

Fourier transformKlein-Gordon equationquantum groupsDirac equationrelativistic wave equationscurved momentum spacenon-commutative spacetimeProca equation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Wave equation (35L05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Special relativity (83A05) Noncommutative geometry in quantum theory (81R60) Analogues of general relativity in lower dimensions (83C80) Methods of noncommutative geometry in general relativity (83C65)

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