Scope of the central-potential and hydrogen examples page

What the page contains. Two conditional computations and one status record in the declared Coulomb model: the exact equivalence of the bound-energy parametrisations in terms of $(m,\kappa )$, $(\mathrm{\hslash },m,a_{\kappa })$ and $(m,\alpha ,c)$, the reduced-mass factor between the relative and fixed-nucleus energies, and the dimensional checks of those identities (Bound-energy parametrisations of the Coulomb model: exact identities, units and the reduced-mass factor); the explicit reduced radial functions, normalisations and low moments for the states with $n\le 2$, including the check that reduced radial functions of different angular momentum are not orthogonal (Low-lying radial distributions of the Coulomb model: normalisations, moments and the failure of cross-l orthogonality of reduced functions); and the empirical-status record deferring the comparison with measured spectra (Empirical status of the hydrogen spectrum on this pair: pending spectroscopy evidence and the limits of the model's spectral statements).

What the page does not contain. No experiment, no reported line, no wavelength or frequency value, no count, no calibration and no statistical inference appears; no item assigns a numerical value to any model parameter or measured constant, and none of the computations establishes that the model or its postulates describes nature. The identification of a concrete hydrogen atom with the declared model is a tested identification under the preparation and apparatus postulate (Preparation and apparatus postulate P7: declared preparations, isolation and sampling assumptions) and is not made here.

Dependence on the A page. Every statement of the page is conditional on the declared Coulomb model, its assigned energy observable and the spectral theorem (The declared Coulomb and two-body hydrogen model: one-centre operator, relative problem, reduced mass and scope exclusions, The one-centre Coulomb model: bound energies, n^2-degeneracy, completeness of the bound states in the negative spectral subspace and the continuum); the model scales $a_{\kappa }={\mathrm{\hslash }}^2\mathrm{/}(m\kappa )$ and the energies are model data, not measured lengths or energies.

Deferred content. Transition frequencies, line intensities, selection rules and photon statements belong to the radiation and light-matter items of the quantum-mechanics track; scattering and ionisation belong to the three-dimensional scattering pair. The numerical spectroscopic comparison remains a pending experiment candidate and is not anticipated by any claim of this page.