R P Malik 2004 J. Phys. A: Math. Gen. 37 12077 doi:10.1088/0305-4470/37/50/010
Noncommutativity in the mechanics of a free massless relativistic particle
R P Malik
Show affiliationsWe show the existence of a noncommutative spacetime structure in the context of a complete discussion on the underlying spacetime symmetries for the physical system of a free massless relativistic particle. The above spacetime symmetry transformations are discussed for the first-order Lagrangian of the system where the transformations on the coordinates, velocities and momenta play important roles. We discuss the dynamics of this system in a systematic manner by exploiting the symplectic structures associated with the four-dimensional (non-)commutative cotangent (i.e. momentum phase) space corresponding to a two-dimensional (non-)commutative configuration (i.e. target) space. A simple connection of the above noncommutativity (NC) is established with the NC associated with the subject of quantum groups where 
transformations play a decisive role.
- PACS
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03.65.Pm Relativistic wave equations
04.62.+v Quantum fields in curved spacetime
11.10.Ef Lagrangian and Hamiltonian approach
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
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81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 50 (17 December 2004)
Received 6 August 2004, in final form 25 October 2004
Published 1 December 2004
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Noncommutativity in the mechanics of a free massless relativistic particle
R P Malik 2004 J. Phys. A: Math. Gen. 37 12077
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