Pauli energy spectrum for twist-deformed space-time

TL;DR

This paper defines the Pauli Hamiltonian in twist-deformed N-enlarged Newton-Hooke space-time and derives its energy spectrum, including eigenvalues and eigenfunctions, contributing to the understanding of quantum systems in deformed space-times.

Contribution

It introduces a new formulation of the Pauli Hamiltonian for a specific twist-deformed space-time and computes its energy spectrum, which was not previously established.

Findings

Derived eigenvalues of the Pauli Hamiltonian in twist-deformed space-time

Obtained explicit eigenfunctions for the system

Extended quantum mechanical models to deformed space-time frameworks

Abstract

In this article, we define the Pauli Hamiltonian function for twist-deformed N-enlarged Newton-Hooke space-time provided in article [12]. Further, we derive its energy spectrum, i.e., we find the corresponding eigenvalues as well as the proper eigenfunctions.