Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space

TL;DR

This paper investigates how noncommutative, rotationally invariant space affects hydrogen atom energy levels, deriving the leading correction term for the $ns$ levels in terms of the noncommutativity parameter.

Contribution

It provides an exact calculation of the leading correction to hydrogen $ns$ energy levels in a rotationally invariant noncommutative space.

Findings

Derived the leading asymptotic correction term for $ns$ energy levels

Confirmed rotational invariance in noncommutative space influences energy corrections

Provides a basis for future experimental tests of noncommutative space effects

Abstract

Noncommutative space which is rotationally invariant is considered. The hydrogen atom is studied in this space. We exactly find the leading term in the asymptotic expansion of the corrections to the $ns$ energy levels over the small parameter of noncommutativity.