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šŸŸ¢ TightBindingV1D/Energy/Infinite

Provisional v2 view ā€” RES not wired

Generated by docs/atlas/generate.jl ā€” a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run ā€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: Mahan2000 | AshcroftMermin1976
  • V=0 free-fermion eā‚€ = -(2t/Ļ€)sin(kF) - (Ī¼/Ļ€)kF, k_F = arccos(-Ī¼/2t); band-edge piecewise.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_formšŸŸ¢ structuralMahan 2000; Ashcroft-Mermin 1976: eā‚€ = -(2t/Ļ€) sin(kF) - (Ī¼/Ļ€) kFtest/models/quantum/misc/test_tight_binding_v1d.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(TightBindingV1D(), Energy(), Infinite(); route = :second_closed_form, independent = -2 / Ļ€, agree_within = 1.0e-12, refs = ["Mahan 2000; Ashcroft-Mermin 1976: eā‚€ = -(2t/Ļ€) sin(k_F) - (Ī¼/Ļ€) k_F"])

Assurance (provisional)

  • level: corroborated-at-p šŸŸ¢
  • cards: 1 Ā· model ED-feasible
  • RES not wired ā€” measured residuals / confidence are not shown yet.

ā† Model: TightBindingV1D Ā· Quantity: Energy Ā· Atlas index