# Noncommutative planar particles: higher order versus first order formalism and supersymmetrization

@article{Lukierski2002NoncommutativePP, title={Noncommutative planar particles: higher order versus first order formalism and supersymmetrization}, author={Jerzy Lukierski and Peter C. Stichel and Wojtek J. Zakrzewski}, journal={arXiv: High Energy Physics - Theory}, year={2002} }

We describe the supersymmetrization of two formulations of free noncommutative planar particles -- in coordinate space with higher order Lagrangian [1] and in the framework of Faddeev and Jackiw [2,3], with first order action. In nonsupersymmetric case the first formulation after imposing subsidiary condition eliminating internal degrees of freedom provides the second formulation. In supersymmetric case one can also introduce the split into ``external'' and ``internal'' degrees of freedom both…

## 5 Citations

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The supersymmetric extension of a model introduced by Lukierski, Stichel and Zakrewski in the non-commutative plane is studied. The Noether charges associated to the symmetries are determined. Their…

### Ju l 2 01 3 Symmetry considerations on radiation damping

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Abstract It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper we will use a specific approach of this problem which is the standard way to treat…

### Symmetry considerations on radiation damping

- Mathematics
- 2013

It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper we will use a specific approach of this problem which is the standard way to treat the…