Applied Mathematics
Volume 5, Issue 10 (June 2014)
ISSN Print: 2152-7385 ISSN Online: 2152-7393
Google-based Impact Factor: 0.58 Citations
On q-Deformed Calculus in Quantum Geometry ()
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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.
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