The Schrödinger equation works for the hydrogen atom despite relativistic nuclear boundaries

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

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The Schrödinger equation successfully models the hydrogen atom, with relativistic boundary and potential effects adequately captured through perturbation theory or modified relativistic corrections.

The analysis

The retrieved literature confirms that standard quantum mechanical and QED treatments of atomic hydrogen successfully account for relativistic effects while utilizing frameworks rooted in the Schrödinger equation, yielding highly accurate predictions that match experimental spectroscopy.

Evidence for · 2

Sub-part-per-trillion test of the Standard Model with atomic hydrogen.

Recorded source metadata

Maisenbacher L, Wirthl V, Matveev A, Grinin A, Pohl R, Hänsch TW, Udem T. Sub-part-per-trillion test of the Standard Model with atomic hydrogen.. 2026. https://doi.org/10.1038/s41586-026-10124-3

High-precision atomic hydrogen spectroscopy confirms that standard non-relativistic and bound-state Schrödinger-based QED methods predict transition frequencies with extreme accuracy.

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More for · 1

Closed-form spin-relativistic corrections from the Dirac equation enabling a modified Schrödinger solver.

Recorded source metadata

Amaro MB, Nazeef, Dussech CJ, Qi C. Closed-form spin-relativistic corrections from the Dirac equation enabling a modified Schrödinger solver.. 2025. https://doi.org/10.1038/s41598-025-29243-4

Derivations from the Dirac equation confirm that Schrödinger-like solvers can successfully retain leading relativistic corrections for Coulomb potentials.

Source citation format

The paper trail · every fact has a biography

first checked01 Aug 2026

judged → SUPPORTED · 7901 Aug 2026

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