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feat(QuantumMechanics): add DirichletSubmoduleOn#1431

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jstoobysmith merged 9 commits into
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gloges:qm-dirichlet
Jul 18, 2026
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feat(QuantumMechanics): add DirichletSubmoduleOn#1431
jstoobysmith merged 9 commits into
leanprover-community:masterfrom
gloges:qm-dirichlet

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@gloges gloges commented Jul 17, 2026

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Adds submodules of the Space d Hilbert space on Ω consisting of Schwartz maps which vanish on frontier Ω = closure Ω \ interior Ω. These can serve as the domain for an operator which acts on wavefunctions satisfying Dirichlet boundary conditions (e.g. the Hamiltonian for the infinite square well).

  • Basic.lean: defines SpaceDHilbertSpaceOn and reorganizes to add namespace and section variables.
  • SchwartzSubmodule.lean: defines SchwartzSubmoduleOn as the projection of SchwartzSubmodule from SpaceDHilbertSpace onto SpaceDHilbertSpaceOn.
  • DirichletSubmodule.lean: defines DirichletSubmoduleOn as the projection of a submodule of 𝓢(Space d, ℂ) and proves that it is contained in SchwartzSubmoduleOn.

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Thank you for this PR, which will now be reviewed. If submitting to ./Physlib or ./QuantumInfo, please see our review guidelines if you are not familiar with the process. You should expect a back and forth with a reviewer before your PR is merged. See also that link for how to add appropriate labels to your PR. The PR will also go through a number of automated checks. You can learn more about these here, including how to run them locally.

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@github-actions github-actions Bot added the t-quantum-mechanics Quantum mechanics label Jul 17, 2026
Comment thread Physlib/QuantumMechanics/HilbertSpaces/SpaceD/DirichletSubmodule.lean Outdated

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This looks good to me. Approved :)

@jstoobysmith jstoobysmith added the ready-to-merge This PR is approved and will be merged shortly label Jul 18, 2026
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jstoobysmith merged commit f3aae9a into leanprover-community:master Jul 18, 2026
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@gloges
gloges deleted the qm-dirichlet branch July 18, 2026 09:31
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