# Q-derivative q-factorial

1. Apr 9, 2007

### tpm

Hi..looking at wikipedia

http://en.wikipedia.org/wiki/Q-analogue

what's all that stuff about q-derivative q-factorial and so on and how could it be used in QM ??.

Also due to Uncertainty principle.. is jus the Quantum phase space of q's and p's a Non-commutative version of our classical world ?? i mean if you can describe QM by using some non-conmutative mathematics-geommetry with elements

$$AB-BA=\hbar [A,B]$$ the problem is how do you define for Non-commutative Algebras the measure

$$dqdp$$ (infintesimal group element so they don't commute) or obtain a Matrix representation of the Group (using matrices)