Exact Diagonalization of Many-Body Hamiltonians L1-323

Quantum MechanicsFull Hilbert space spectraδ=5 · challengingL_DAG = 3.2📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

H ∣ P s i >= E ∣ P s i > so l v e d e x a c tl y in t h e g i v e n H i l b er t s p a ce

Build H in Fock basis; Lanczos/Arnoldi for lowest eigenstates; exact for small systems (up to ~30 sites/qubits).

L-DAG

E.Fock_basis -> E.eigensolve -> O.eigensystem

E.Fock_basisE.eigensolveO.eigensystem

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 800

Exact to numerical precision; limited by exponential Hilbert space scaling.

Solvability C

Solver class:: ARPACK, SLEPc, QuSpin; sparse storage with symmetries
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.