Quantum Mechanical Effects from Deformation Theory

TL;DR

This paper introduces a deformation method for quantum operators using warped convolutions, revealing new quantum effects influenced by electromagnetic and gravitomagnetic fields, and proposing an experimentally testable quantum plane.

Contribution

It presents a novel deformation technique for quantum operators that uncovers new effects and constructs a quantum plane, linking theory with potential experiments.

Findings

Quantum effects influenced by electromagnetic and gravitomagnetic fields.

Construction of a quantum plane via deformation techniques.

Proposal of an experimentally verifiable quantum effect.

Abstract

We consider deformations of quantum mechanical operators by using the novel construction of warped convolutions. The deformation enables us to obtain several quantum mechanical effects where electromagnetic and gravitomagnetic fields play a role. Furthermore, a quantum plane can be defined by using the deformation techniques. This in turn gives an experimentally verifiable effect.