GitHub

🟢 Heisenberg1D/GroundStateEnergyDensity/Infinite

Provisional v2 view — RES not wired

Generated by docs/atlas/generate.jl — 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 — 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 bethe_ansatz, status exact, reliability high, refs: Hulthen1938 | Bethe1931
  • e₀ = J(1/4 - ln 2) at the isotropic AF point.

Corroboration

regimemechanismindependencerefsfile
@su2delegation_invariant🟡 assertedHeisenberg1D ≡ XXZ1D(Δ=1): Hulthén e0 = J(1/4 − log 2)test/identities/test_identities_Heisenberg1D.jl
@su2second_closed_form🟢 structuralHulthén 1938: e0 = 1/4 − log 2test/identities/test_identities_Heisenberg1D.jl
@su2second_closed_form🟢 structuralHulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exacttest/models/quantum/Heisenberg/test_Heisenberg1D_hulthen_batch.jl
@su2second_closed_form🟢 structuralHulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exacttest/models/quantum/Heisenberg/test_Heisenberg1D_hulthen_batch.jl
@su2second_closed_form🟢 structuralHulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exacttest/models/quantum/Heisenberg/test_Heisenberg1D_hulthen_batch.jl
@su2ed_finite_size🟢 structuralHulthen 1938: e0 = J(1/4 - log 2), verified by OBC ED convergencetest/models/quantum/XXZ/test_bethe_ansatz.jl

Test calls

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

verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(XXZ1D(; J = 1.0, Δ = 1.0), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["Heisenberg1D ≡ XXZ1D(Δ=1): Hulthén e0 = J(1/4 − log 2)"])
verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = 0.25 - log(2.0), agree_within = 1.0e-12, refs = ["Hulthén 1938: e0 = 1/4 − log 2"])
verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = 0.5 * (1 / 4 - log(2)), agree_within = 1.0e-14, fetch_kw = (; 0.5 = 0.5), refs = ["Hulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exact"])
verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = 2.0 * (1 / 4 - log(2)), agree_within = 1.0e-14, fetch_kw = (; 2.0 = 2.0), refs = ["Hulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exact"])
verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = 3.0 * (1 / 4 - log(2)), agree_within = 1.0e-14, fetch_kw = (; 3.0 = 3.0), refs = ["Hulthén 1938: e₀ = J(1/4 − log 2) Bethe-ansatz exact"])
verify(Heisenberg1D(), GroundStateEnergyDensity(), Infinite(); route = :ed_finite_size, independent = [(dense_spectrum(chain_hamiltonian(2, N, kron(Sx, Sx) + kron(Sy, Sy) + kron(Sz, Sz))))[1] / (N - 1) for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14))], at = ["N=$(verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14)))" for verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14)) = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12, 14))], agree_within = 0.05, refs = ["Hulthen 1938: e0 = J(1/4 - log 2), verified by OBC ED convergence"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 6 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: Heisenberg1D · Quantity: GroundStateEnergyDensity · Atlas index