OAI/Analysis/CoulombIonization/FieldAnalysis/PauliMomentum.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.CoulombAtom.NeumannSpinMode line 17
  2. def OAI.CoulombAtom.discretePhaseDensity line 19
  3. lemma OAI.CoulombAtom.discretePhaseDensity_nonneg line 22
  4. lemma OAI.CoulombAtom.discretePhaseDensity_pauli line 29
  5. lemma OAI.CoulombAtom.momentumCell_finite line 51
  6. lemma OAI.CoulombAtom.momentumCell_integrable line 55
  7. lemma OAI.CoulombAtom.momentumCell_mass line 60
  8. lemma OAI.CoulombAtom.discretePhaseDensity_integrable line 67
  9. lemma OAI.CoulombAtom.discretePhaseDensity_mass line 72
  10. lemma OAI.CoulombAtom.momentumCell_kinetic_integrable line 78
  11. lemma OAI.CoulombAtom.momentumCell_indicator_kinetic_integrable line 88
  12. lemma OAI.CoulombAtom.discretePhaseDensity_kinetic_eq line 92
  13. lemma OAI.CoulombAtom.discretePhaseDensity_kinetic_integrable line 101
  14. lemma OAI.CoulombAtom.discretePhaseDensity_kinetic_integral line 107
  15. lemma OAI.CoulombAtom.momentumCell_kinetic_bound line 116
  16. theorem OAI.CoulombAtom.neumann_lattice_bathtub line 133
  17. def OAI.CoulombAtom.neumannRemainderConstant line 152
  18. lemma OAI.CoulombAtom.neumannRemainderConstant_pos line 154
  19. lemma OAI.CoulombAtom.square_shift_bound line 159
  20. theorem OAI.CoulombAtom.neumann_lattice_lower line 166
  21. theorem OAI.CoulombAtom.neumann_mode_list_lower line 225