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

DOI10.1007/BF02101287zbMath0867.35079arXivq-alg/9510019MaRDI QIDQ679388

Piotr Podleś

Publication date: 4 August 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9510019

zbMATH Keywords

covariant differential calculiexterior algebras on quantum homogeneous spacesinhomogeneous quantum groupsKlein-Gordon and Dirac equations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items

Conservation laws for linear equations on braided linear spaces, Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories, Universal κ-Poincaré covariant differential calculus over κ-Minkowski space, Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces, Metrics on the real quantum plane, Free \(q\)-deformed relativistic wave equations by representation theory, Deformed field theory on \(\kappa\)-spacetime, The Dirac operator and gamma matrices for quantum Minkowski spaces, Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization, DISTANCE MEASUREMENT AND κ-DEFORMED PROPAGATION OF LIGHT AND HEAVY PROBES, The inhomogeneous quantum groups from differential calculi with classical dimension, Separation of noncommutative differential calculus on quantum Minkowski space

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