TITLE:
On q-Deformed Calculus in Quantum Geometry
AUTHORS:
Olaniyi S. Maliki, Emmanuel I. Ugwu
KEYWORDS:
Quantum Geometry, q-Numbers, q-Factorials, q-Calculus
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.10,
June
6,
2014
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.