On q-Deformed Calculus in Quantum Geometry

Olaniyi S.  Maliki; Emmanuel I.  Ugwu

doi:10.4236/am.2014.510151

Olaniyi S. Maliki^*, Emmanuel I. Ugwu^*

Abstract: The relation between noncommutative (or quantum) geometry and themathematics of spacesis in many ways similar to the relation between quantum physicsand classical physics. One moves from the commutative algebra of functions on a space (or a commutative algebra of classical observable in classical physics) to a noncommutative algebra representing a noncommutative space (or a noncommutative algebra of quantum observables in quantum physics). The object of this paper is to study the basic rules governing q-calculus as compared with the classical Newton-Leibnitz calculus.

Keywords: Quantum Geometry, q-Numbers, q-Factorials, q-Calculus

Cite this paper: Maliki, O. and Ugwu, E. (2014) On q-Deformed Calculus in Quantum Geometry. Applied Mathematics, 5, 1586-1593. doi: 10.4236/am.2014.510151.

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http://dx.doi.org/10.1007/s002200050315