Coherent state quantization of paragrassmann algebras

M. El Baz , R. Fresneda , J.-P. Gazeau , Y. Hassouni

By using a coherent state quantization of paragrassmann variables, operators are constructed in finite Hilbert spaces. We thus obtain in a straightforward way a matrix representation of the paragrassmann algebra. This algebra of finite matrices realizes a deformed Weyl-Heisenberg algebra. The study of mean values in coherent states of some of these operators leads to interesting conclusions.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique Quantique [quant-ph]

M. El Baz, R. Fresneda, J.-P. Gazeau, Y. Hassouni. Coherent state quantization of paragrassmann algebras. Journal of Physics A: Mathematical and Theoretical, 2010, 43, pp.385202. ⟨10.1088/1751-8113/43/38/385202⟩. ⟨hal-00739322⟩