OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/LocalizedWellResidual.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The actual other-well residual has exponentially small L2 mass. The square of a nonpositive bounded well is controlled by its negative well matrix element, so the checked two-tail estimate applies directly.

  1. def OAI.ContinuumCoulomb.localizedWellAction line 14
  2. theorem OAI.ContinuumCoulomb.localizedWellAction_continuous line 17
  3. theorem OAI.ContinuumCoulomb.localizedWellAction_memLp line 23
  4. theorem OAI.ContinuumCoulomb.localizedWellAction_square_integrable line 31
  5. theorem OAI.ContinuumCoulomb.localizedWellAction_square_le_matrix line 36
  6. theorem OAI.ContinuumCoulomb.localizedWellAction_square_decay line 55