Comment on Path Integral Derivation of Schr\"odinger Equation in Spaces with Curvature and Torsion

TL;DR

This paper offers a concise and elegant derivation of the Schrödinger equation using path integrals for particles in curved spaces with torsion, simplifying previous complex methods.

Contribution

It provides a shorter, more elegant derivation of the Schrödinger equation in curved spaces with torsion, improving on existing literature.

Findings

Simplified derivation of Schrödinger equation in curved spaces with torsion

Enhanced mathematical elegance and brevity

Potential for broader application in quantum gravity and geometric quantum mechanics

Abstract

We present a derivation of the Schr\"odinger equation for a path integral of a point particle in a space with curvature and torsion which is considerably shorter and more elegant than what is commonly found in the literature.