OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ClassicalSlaterSynthesis.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Arbitrary complex occupation amplitudes give actual antisymmetric weak-H1 continuum states. Their continuum mass equals the finite Fock norm, so this construction treats every state of the fixed-particle mode space.

  1. def OAI.ContinuumCoulomb.selectedSpatialSpinOrbitals line 17
  2. def OAI.ContinuumCoulomb.slaterSynthesisValue line 21
  3. theorem OAI.ContinuumCoulomb.slaterSynthesisValue_C1 line 25
  4. theorem OAI.ContinuumCoulomb.slaterSynthesisValue_memLp line 32
  5. theorem OAI.ContinuumCoulomb.slaterSynthesisValue_fderiv line 42
  6. theorem OAI.ContinuumCoulomb.slaterSynthesisValue_partial_memLp line 54
  7. def OAI.ContinuumCoulomb.classicalSlaterSynthesis line 71
  8. theorem OAI.ContinuumCoulomb.slaterConfiguration_permute line 79
  9. theorem OAI.ContinuumCoulomb.classicalSlaterSynthesis_antisymmetric line 90
  10. theorem OAI.ContinuumCoulomb.classicalSlaterSynthesis_cubeState line 105
  11. theorem OAI.ContinuumCoulomb.classicalSlaterSynthesis_mass line 113