TL;DR
This paper algebraically derives the hydrogen atom spectrum in a space of constant curvature, extending classical quantum mechanics results to curved geometries.
Contribution
It provides a novel algebraic derivation of the hydrogen spectrum in curved space, building on Schrödinger's earlier results.
Findings
Spectrum derived algebraically for curved space
Extension of hydrogen atom analysis to non-Euclidean geometries
Confirmation of spectral properties in constant curvature space
Abstract
We present algebraic derivation of the result of Schr\"{o}dinger [1] for the spectrum of hydrogen atom in the space with constant curvature.
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