OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/LocalizedLinearCoulomb.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Coulomb integrals of actual linear combinations of the localized orbitals. Bounded-L1 packets make the full four-index change of basis an exact identity, with joint singular-kernel integrability.

  1. theorem OAI.ContinuumCoulomb.CoulombPacket.sumList_apply line 18
  2. theorem OAI.ContinuumCoulomb.CoulombPacket.combination_apply line 24
  3. def OAI.ContinuumCoulomb.localizedLinearTransitionPacket line 31
  4. theorem OAI.ContinuumCoulomb.localizedLinearTransitionPacket_apply line 37
  5. def OAI.ContinuumCoulomb.localizedLinearFourIndex line 50
  6. theorem OAI.ContinuumCoulomb.localizedLinearFourIndex_integrable line 55
  7. theorem OAI.ContinuumCoulomb.localizedLinearFourIndex_integral line 65
  8. theorem OAI.ContinuumCoulomb.localizedLinearFourIndex_eq line 74
  9. theorem OAI.ContinuumCoulomb.localizedLinearFourIndex_correction line 93