OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/LocalizedFockStates.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

Every state of the actual full half-filled Fock space is realized by an antisymmetric weak-H1 continuum state in the corrected localized modes. The continuum mass is exactly the finite occupation norm.

  1. theorem OAI.ContinuumCoulomb.euclidean_norm_change_fintype line 16
  2. def OAI.ContinuumCoulomb.localizedSpinMode line 23
  3. theorem OAI.ContinuumCoulomb.localizedSpinMode_C1 line 27
  4. theorem OAI.ContinuumCoulomb.localizedSpinMode_memLp line 31
  5. theorem OAI.ContinuumCoulomb.localizedSpinMode_partial_memLp line 36
  6. theorem OAI.ContinuumCoulomb.localizedSpinMode_inner line 42
  7. def OAI.ContinuumCoulomb.localizedFockState line 54
  8. theorem OAI.ContinuumCoulomb.localizedFockState_antisymmetric line 59
  9. theorem OAI.ContinuumCoulomb.localizedFockState_mass line 64
  10. def OAI.ContinuumCoulomb.localizedFockFormState line 76
  11. theorem OAI.ContinuumCoulomb.localizedFockFormState_normalized line 80