# Spin and Statistics on the Groenewold-Moyal Plane:. Pauli-Forbidden Levels and Transitions

@article{Balachandran2005SpinAS, title={Spin and Statistics on the Groenewold-Moyal Plane:. Pauli-Forbidden Levels and Transitions}, author={Aiyalam P. Balachandran and Gianpiero Mangano and A. Pinzul and Sachindeo Vaidya}, journal={International Journal of Modern Physics A}, year={2005}, volume={21}, pages={3111-3126} }

The Groenewold–Moyal plane is the algebra ${\mathcal A}_\theta({\mathbb R}^{d+1})$ of functions on ℝd+1 with the *-product as the multiplication law, and the commutator $[\hat{x}_\mu,\hat{x}_\nu] =i\theta_{\mu \nu}\, (\mu,\nu=0,1,\ldots,d)$ between the coordinate functions. Chaichian et al.1 and Aschieri et al.2 have proved that the Poincare group acts as automorphisms on ${\mathcal A}_\theta({\mathbb R}^{d+1})$ if the coproduct is deformed. (See also the prior work of Majid,3 Oeckl4 and Grosse…

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