Application Of q-Calculus In Quantum Geometry

CHISOM CHINEDU | 57 pages (9659 words) | Theses
Mathematics | Co Authors: ONWUEGBULAM

ABSTRACT

Every geometry is associated with some kind of space. Non-commutative geometry or quantum geometry deals with quantum spaces, including the classical concept of space as a very special case. We consider in particular the case that deals with calculus without limits (quantum calculus); employing the basic governing rules to obtain the q-derivative of some standard functions such as the trigonometric, exponential, logarithmic and hyperbolic functions. We discover that the q-derivative of these functions collapse naturally to the Newton-Leibnitz derivatives. We also considered q-integral which is the inverse of the q-derivative. The Reduced q-Differential Transform Method is presented for solving Partial q-Differential Equations, and the result obtained shows that this iteration procedure is less complicated and efficient when compared with the classical means of obtaining the analytical solution.

 

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APA

CHISOM, C (2023). Application Of q-Calculus In Quantum Geometry. Repository.mouau.edu.ng: Retrieved Jul 17, 2024, from https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2

MLA 8th

CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 16 May. 2023, https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2. Accessed 17 Jul. 2024.

MLA7

CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 16 May. 2023. Web. 17 Jul. 2024. < https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2 >.

Chicago

CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry" Repository.mouau.edu.ng (2023). Accessed 17 Jul. 2024. https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2

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