On <i>q</i>-Deformed Calculus in Quantum Geometry  

作　　者：Olaniyi S. Maliki Emmanuel I. Ugwu 

机构地区：[1]Department of Industrial Mathematics and Applied Statistics, Ebonyi State University, Abakaliki, Nigeria [2]Department of Industrial Physics, Ebonyi State University, Abakaliki, Nigeria

出　　处：《Applied Mathematics》2014年第10期1586-1593,共8页应用数学（英文）

摘　　要：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.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.

关 键 词：Quantum Geometry q-Numbers q-Factorials Q-CALCULUS 

分 类 号：O1[理学—数学]