# Geometric description of the Schr\"odinger equation in 3n+1 dimensional configuration space

## TL;DR

This paper reformulates the Schrödinger equation for many particles in a geometric framework using conformally stretched spacetime, extending the approach to include particles under potential influences.

## Contribution

It introduces a novel geometric interpretation of many-particle Schrödinger equations in higher-dimensional configuration space, generalizing to particles with potentials.

## Key findings

- Reformulation of many-particle Schrödinger equations geometrically
- Extension to particles under potential influences
- Unified classical geometric description of quantum systems

## Abstract

We show that for non-relativistic free particles, the (bosonic) many particle equations can be rewritten in geometric fashion in terms of a classical theory of conformally stretched spacetime. We further generalize the results for the particles subject to a potential.