Noncommutative Quantum Mechanics and rotating frames

TL;DR

This paper investigates how noncommutative space affects quantum interference in rotating frames, developing a path-integral method to compute physical effects like interference shifts in magnetic fields.

Contribution

It introduces a path-integral approach to analyze noncommutative quantum mechanics in rotating frames, providing exact calculations of interference shifts for constant magnetic fields.

Findings

Exact noncommutative Lagrangian derived

Interference pattern shifts computed for any noncommutativity parameter

Method applicable to gauge field backgrounds

Abstract

We study the effect of noncommutativity of space on the physics of a quantum interferometer located in a rotating disk in a gauge field background. To this end, we develop a path-integral approach which allows defining an effective action from which relevant physical quantities can be computed as in the usual commutative case. For the specific case of a constant magnetic field, we are able to compute, exactly, the noncommutative Lagrangian and the associated shift on the interference pattern for any value of $\theta$.