×

zbMATH — the first resource for mathematics

The Dirac operator and gamma matrices for quantum Minkowski spaces. (English) Zbl 0887.58067
Summary: Gamma matrices for quantum Minkowski spaces are found. The invariance of the corresponding Dirac operator is proven. We introduce momenta for spin 1/2 particles and get (in certain cases) formal solutions of the Dirac equation.

MSC:
58Z05 Applications of global analysis to the sciences
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] DOI: 10.1007/BF02104908 · Zbl 0869.17010 · doi:10.1007/BF02104908
[2] DOI: 10.1007/BF02101287 · Zbl 0867.35079 · doi:10.1007/BF02101287
[3] DOI: 10.1007/BF02473358 · Zbl 0703.22018 · doi:10.1007/BF02473358
[4] DOI: 10.1142/S0217751X91001507 · Zbl 0736.17018 · doi:10.1142/S0217751X91001507
[5] DOI: 10.1142/S0217751X91001507 · Zbl 0736.17018 · doi:10.1142/S0217751X91001507
[6] DOI: 10.1007/BF01565100 · doi:10.1007/BF01565100
[7] DOI: 10.1002/prop.2190440102 · doi:10.1002/prop.2190440102
[8] Woronowicz S. L., Comput. Math. 90 pp 211– (1994)
[9] DOI: 10.1016/0370-2693(93)90286-Q · Zbl 0864.17030 · doi:10.1016/0370-2693(93)90286-Q
[10] Reshetikhin N. Yu., Leningrad Math. J. 1 (1) pp 193– (1990)
[11] Reshetikhin N. Yu., Alg. anal. 1 (1) pp 178– (1989)
[12] DOI: 10.1007/s002200050093 · Zbl 0881.17013 · doi:10.1007/s002200050093
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.