OAI/MathematicalPhysics/ContinuumCoulomb/ManyBody/RepulsionCross.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The actual Coulomb interaction has a polynomial mixed-form bound. The multiplier acts on full spinful H1 states and takes values in L2.

  1. def OAI.ContinuumCoulomb.repulsionMultiplier line 16
  2. def OAI.ContinuumCoulomb.repulsionCross line 20
  3. theorem OAI.ContinuumCoulomb.repulsionMultiplier_norm_sq line 23
  4. theorem OAI.ContinuumCoulomb.repulsionCross_square_bound line 27
  5. theorem OAI.ContinuumCoulomb.repulsionCross_integral line 47
  6. theorem OAI.ContinuumCoulomb.repulsionCross_comm line 60
  7. theorem OAI.ContinuumCoulomb.pairEnergy_eq_repulsionCross line 65
  8. theorem OAI.ContinuumCoulomb.repulsionMultiplier_add line 71
  9. theorem OAI.ContinuumCoulomb.pairEnergy_add line 86