MODEL AND DISPLAY

STATE — Hydrogen's register holds its 140 basis states with n ≤ 7; norm, energy, and autocorrelation come from their coefficients. While a molecule owns the field, the state is its solve in MOLECULES, not this register. Under INTER-SHELL STARK the coefficients evolve by an eigensolve of H = diag(E) + F z over all 140 labels — NUMERICAL, with no continuum: a shell past its saddle would ionise, and this basis holds it.

STATUS — EXACT: a closed form. NUMERICAL: a solve checked against an oracle — for a molecule, PySCF's energy on the same atoms and basis; for any other system, the test its row below names. UNCHECKED: no oracle. The picture's number says its metric: RMS, worst voxel, or a share of ρmax.

SHADOW — The same coefficients appear as q = √2 Re c and p = √2 Im c. This is another view of the quantum state.

FIELD — The renderer samples ψ on the selected 3D grid and ray-marches it. Grid size and quality change the picture, not the state.

MASKS — Mute and solo affect the reconstruction only. The state keeps every coefficient, and the status shows how much norm is visible.

EMISSION — A line is two eigenstates beating: populate both and the density breathes at ω = ΔE; EMISSION SPECTRA presses that pair. Hydrogen's lines are computed (λ with ¹H's reduced mass, the Einstein A in closed form); an ATOM's wavelengths are measured (NIST ASD) and drawn as the active electron's orbital pair, beating at the computed Xα gap. Not included: radiation reaction (the dipole never loses energy), fine structure, the Lamb shift and line widths; an atom's multiplets are one picture per orbital pair.

VIEW AND STATE — Camera, slice, and clip controls change the view. State transforms change |ψ⟩.