Assumptions, results and research status
A guide to the mathematical research programme.
18 October 2026: the complete hydrogen section
This edition brings the temporal interpretation, effective Coulomb model, quantum numbers, spectral hierarchy and collaboration questions into one connected reading route. Four explorers accompany the articles: energy intervals, radial probability, linked scales and synthetic shared level shifts.
The edition includes worked exercises, a glossary, questions and answers, original working-manuscript downloads and references to established atomic sources. The status page records the remaining source-to-Hamiltonian and radiative calculations. The editorial note explains how the source drafts were used.
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Copy the feed URL into your preferred RSS reader. Entries link to the full website articles and record their revision dates. The feed concerns this section; the research blog RSS feed follows the wider programme.
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Use the main Email updates & RSS page for the website’s existing email-subscription options and preferences. The hydrogen section links to that service; subscription details are managed by the main site.
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Read the accompanying research posts
How revisions are documented
Each page carries a revision date and citation information. A change to a model assumption, numerical convention or scientific claim should be described here as well as in the relevant article. Original supplied PDF copies retain their own versions; a website revision does not silently alter those manuscripts.
Readers who find an error can identify the page, section and calculation through the contact page. Corrections that affect a linked result should be followed through the dependent articles and tools.
Sources for this guide
Source manuscripts, version notes, and standard references are listed in the reference library.