OAI/Analysis/LaughlinFock/SphereScaling.lean

GitHub source file

34 declarations, 0 contain sorry, 0 declared as axioms

Sphere Scaling.

  1. def OAI.LaughlinFock.occupationDiagonal line 13
  2. def OAI.LaughlinFock.occupationDiagonalInv line 17
  3. theorem OAI.LaughlinFock.occupationDiagonal_inv_mul line 20
  4. theorem OAI.LaughlinFock.occupationDiagonal_mul_inv line 29
  5. theorem OAI.LaughlinFock.annihilator_mul_occupationDiagonal line 39
  6. def OAI.LaughlinFock.diagonalConjugate line 54
  7. theorem OAI.LaughlinFock.diagonalConjugate_annihilator line 57
  8. theorem OAI.LaughlinFock.diagonalConjugate_mul line 64
  9. theorem OAI.LaughlinFock.diagonalConjugate_sum line 77
  10. theorem OAI.LaughlinFock.diagonalConjugate_smul line 82
  11. theorem OAI.LaughlinFock.diagonalConjugate_zero line 86
  12. def OAI.LaughlinFock.coefficientPairAnnihilator line 90
  13. theorem OAI.LaughlinFock.pairAnnihilator_eq_coefficientPairAnnihilator line 94
  14. theorem OAI.LaughlinFock.diagonalConjugate_pair line 99
  15. def OAI.LaughlinFock.scaledDescFactorial line 121
  16. theorem OAI.LaughlinFock.scaledDescFactorial_nonneg line 124
  17. theorem OAI.LaughlinFock.scaledDescFactorial_pos line 127
  18. theorem OAI.LaughlinFock.scaledDescFactorial_le_one line 133
  19. theorem OAI.LaughlinFock.scaledDescFactorial_succ line 140
  20. theorem OAI.LaughlinFock.scaledDescFactorial_tendsto line 152
  21. def OAI.LaughlinFock.modeScale line 169
  22. def OAI.LaughlinFock.pairScale line 172
  23. theorem OAI.LaughlinFock.modeScale_nonneg line 174
  24. theorem OAI.LaughlinFock.modeScale_pos line 176
  25. theorem OAI.LaughlinFock.modeScale_le_one line 181
  26. theorem OAI.LaughlinFock.modeScale_tendsto line 185
  27. theorem OAI.LaughlinFock.pairScale_tendsto line 189
  28. theorem OAI.LaughlinFock.pairScale_one_le line 196
  29. def OAI.LaughlinFock.limitPairCoefficient line 204
  30. def OAI.LaughlinFock.sphericalPairCoefficient line 210
  31. theorem OAI.LaughlinFock.pairCoefficient_eq_sphericalPairCoefficient line 217
  32. theorem OAI.LaughlinFock.radicand_factorization line 221
  33. theorem OAI.LaughlinFock.sphericalPairCoefficient_factorization line 249
  34. theorem OAI.LaughlinFock.sphericalPairCoefficient_tendsto line 270