An example of Feynman-Jackson integral

TL;DR

This paper reviews the construction of a q-analogue of the Gaussian measure and applies it to develop a q-analogue of Feynman integrals, providing explicit computations for an example.

Contribution

It introduces a q-analogue of Feynman integrals based on a q-Gaussian measure, expanding the mathematical framework of quantum calculus.

Findings

Explicit q-analogue of Feynman integrals computed

Construction of q-Gaussian measure reviewed

Demonstration of application through an example

Abstract

We review the construction of a q-analogue of the Gaussian measure. We apply that construction to obtain a q-analogue of Feynman integrals and to compute explicitly an example of such integrals.