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๐ŸŸข TightBinding1D/Energy/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” 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, reliability high, refs: Ashcroft-Mermin 1976
  • E/N = -(2t/ฯ€) sin(kF) - (ฮผ/ฯ€) kF at partial filling; E/N = 0 (empty) / -ฮผ (full).

Corroboration

regimemechanismindependencerefsfile
@half_fillingsecond_closed_form๐ŸŸข structuralHalf-filled tight-binding chain: e0 = -2t/pitest/models/quantum/misc/test_tight_binding1d.jl
@sweepsecond_closed_form๐ŸŸข structuralAshcroft-Mermin 1976: 1D free spinless fermion half-filling eโ‚€ = -2t/ฯ€test/models/quantum/misc/test_tight_binding1d.jl

Test calls

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

verify(TightBinding1D(; t = 1.0, ฮผ = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -2 / pi, agree_within = 1.0e-9, refs = ["Half-filled tight-binding chain: e0 = -2t/pi"])
verify(TightBinding1D(; t = t), Energy(:per_site), Infinite(); route = :second_closed_form, independent = (-2t) / ฯ€, agree_within = 1.0e-12, refs = ["Ashcroft-Mermin 1976: 1D free spinless fermion half-filling eโ‚€ = -2t/ฯ€"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 2 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: TightBinding1D ยท Quantity: Energy ยท Atlas index