OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/CoulombInverseFifth.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

The inverse-fifth-power tail is integrable in three dimensions, with the exact inverse-square dependence needed when summing far-cell errors.

  1. def OAI.ContinuumCoulomb.inverseFifthRadial line 13
  2. def OAI.ContinuumCoulomb.inverseFifthTail line 16
  3. theorem OAI.ContinuumCoulomb.inverseFifthRadial_weight line 18
  4. theorem OAI.ContinuumCoulomb.inverseFifthRadial_weight_integrable line 26
  5. theorem OAI.ContinuumCoulomb.inverseFifthRadial_weight_integral line 32
  6. theorem OAI.ContinuumCoulomb.inverseFifthTail_integrable line 42
  7. theorem OAI.ContinuumCoulomb.inverseFifthTail_integral line 47
  8. theorem OAI.ContinuumCoulomb.inverseFifthTail_of_gt line 58
  9. theorem OAI.ContinuumCoulomb.inverseFifthTail_nonneg line 63
  10. theorem OAI.ContinuumCoulomb.inverseFifthTail_eq_inv_pow line 69
  11. theorem OAI.ContinuumCoulomb.inverseFifthTail_measurable line 74
  12. theorem OAI.ContinuumCoulomb.inverseFifthTail_le line 85
  13. theorem OAI.ContinuumCoulomb.translatedInverseFifth_integrable line 94
  14. theorem OAI.ContinuumCoulomb.translatedInverseFifth_integral line 99