# The Zeeman effect for hydrogen atom in twist-deformed space-time

## TL;DR

This paper investigates the Zeeman effect on hydrogen atoms within twist-deformed space-time, deriving corrections and analyzing the behavior of orbital and spin g-factors under this deformation.

## Contribution

It introduces the calculation of Zeeman corrections and g-factors for hydrogen in twist-deformed space-time, highlighting that the spin g-factor remains unchanged.

## Key findings

- Orbital g-factor is modified by the deformation.
- Spin g-factor remains undeformed.
- Provides explicit formulas for Zeeman corrections in this context.

## Abstract

In this article we find the Zeeman corrections for hydrogen atom in the case of twist-deformed space-time. Particularly, we derive the corresponding orbital and spin $\hat{g}$-factors as well as we notice, that the second one of them remains undeformed.