# Two-Parameter Deformation of the Poincaré Algebra

@article{Stern1997TwoParameterDO, title={Two-Parameter Deformation of the Poincar{\'e} Algebra}, author={Allen Stern and Igor Yakushin}, journal={International Journal of Modern Physics A}, year={1997}, volume={12}, pages={891-901} }

We examine a two-parameter (ℏ,λ) deformation of the Poincare algebra which is covariant under the action of SLq(2,C). When λ → 0 it yields the Poincare algebra, while in the ℏ → 0 limit we recover the classical quadratic algebra discussed previously in Refs. 1 and 2. The analogues of the Pauli–Lubanski vector w and Casimirs p2 and w2 are found and a set of mutually commuting operators is constructed.

## 2 Citations

TOWARDS CONSTRUCTING ONE-PARTICLE REPRESENTATIONS OF THE DEFORMED POINCARÉ ALGEBRA

- Physics, Mathematics
- 1998

We give a method for obtaining states of massive particle representations of the two-parameter deformation of the Poincare algebra proposed in Refs. 1–3. We discuss four procedures to generate…

Ladder operators' normal ordering problem for quantum-deformed systems and the (q, p)-generalization of the Stirling and Bell numbers

- Mathematics
- 2010

We resolve the ladder operators normal ordering problem for strings in the form for (q, p)-deformed supersymmetric and shape-invariant potential systems, where n is a positive integer. We provide…

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