Title

Geometry of Physical Systems on Quantized Spaces

Document Type

Article

Journal/Book Title/Conference

International Journal of Geometric Methods in Modern Physics

Volume

14

Issue

3

Publisher

World Scientific

Publication Date

1-1-2017

First Page

1

Last Page

18

Abstract

We present a mathematical model for physical systems. A large class of functions is built through the functional quantization method and applied to the geometric study of the model. Quantized equations of motion along the Hamiltonian vector field are built up. It is seen that the procedure in higher dimension carries more physical information. The metric tensor appears to induce an electromagnetic field into the system and the dynamical nature of the electromagnetic field in curved space arises naturally. In the end, an explicit formula for the curvature tensor in the quantized space is given.

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