From Scalar Field Theories to Supersymmetric Quantum Mechanics

TL;DR

This paper explores the connection between scalar field theories and supersymmetric quantum mechanics, revealing that a single scalar field model can correspond to multiple quantum mechanical problems, offering new insights into their relationship.

Contribution

It introduces a novel perspective showing that the same scalar field theory can lead to different supersymmetric quantum mechanical systems, expanding understanding of their interrelation.

Findings

A scalar field model can describe multiple quantum mechanical problems.

New correspondence between scalar field theories and supersymmetric quantum mechanics.

Potential for diverse quantum systems from a single scalar field model.

Abstract

In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.