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Add Weinstein energy bounds - #60

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codex/issue-50-weinstein-bound
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Add Weinstein energy bounds#60
ohno wants to merge 1 commit into
mainfrom
codex/issue-50-weinstein-bound

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@ohno

@ohno ohno commented Aug 14, 2026

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Summary

  • add weinstein and WeinsteinBound for Rayleigh–Ritz results
  • evaluate the energy variance from the continuous radial Hamiltonian action
  • support non-relativistic kinetic, Laplacian, rest-energy, and radial potential terms
  • document the bound, usage, and original reference

Impact

Users can calculate E ± σ without obtaining the artificial zero variance produced by projecting back into the finite variational basis.

Validation

  • Pkg.test() — 557/557 tests passed
  • complete Documenter build passed
  • no method ambiguities detected
  • the documented hydrogen interval contains the exact energy
  • git diff --check

Closes #50


This pull request was developed with assistance from Codex using GPT-5.6 Sol with High reasoning effort.

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Add Weinstein bound

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