q deformed relativistic wave equations
Jul, 199317 pages
Published in:
- J.Math.Phys. 35 (1994) 2804-2817
e-Print:
- hep-th/9310097 [hep-th]
DOI:
Report number:
- MPI-PH-93-61
Citations per year
Abstract: (desy)
Based on the representation theory of the -deformed Lorentz and Poincar\'e symmeties -deformed relativistic wave equation are constructed. The most important cases of the Dirac-, Proca-, Rarita-Schwinger- and Maxwell- equations are treated explicitly. The -deformed wave operators look structurally like the undeformed ones but they consist of the generators of a non-commu\-ta\-tive Minkowski space. The existence of the -deformed wave equations together with previous existence of the -deformed wave equations together with previous results on the representation theory of the -deformed Poincar\'e symmetry solve the -deformed relativistic one particle problem.- quantum mechanics: relativistic
- algebra: deformation
- algebra: Lorentz
- algebra: Poincare
- algebra: representation
- Dirac equation
- Maxwell equation
- Proca equation
- Rarita-Schwinger equation
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