OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/PlanarWellLocalization.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Exact localization of the actual sum of manufactured wells. Site pieces see exactly their own well; the exterior piece sees zero potential.

  1. def OAI.ContinuumCoulomb.planarWellSum line 13
  2. theorem OAI.ContinuumCoulomb.planarWellSum_continuous line 16
  3. theorem OAI.ContinuumCoulomb.manufacturedPlanarWell_zero_of_norm_ge_one line 21
  4. theorem OAI.ContinuumCoulomb.planarSitePartition_exterior_inner line 25
  5. theorem OAI.ContinuumCoulomb.planarWellSum_site_product line 39
  6. theorem OAI.ContinuumCoulomb.planarWellSum_exterior_product line 61
  7. theorem OAI.ContinuumCoulomb.planarTestForm_potential_product_congr line 73
  8. theorem OAI.ContinuumCoulomb.planarWellSum_localized_forms line 81
  9. theorem OAI.ContinuumCoulomb.planarWellSum_localization_lower line 99