OAI/MathematicalPhysics/DefocusingNLS/Linear/ExpandingPhysicalAmplitude.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The amplitude restoring physical Schrödinger time

For 2 a m = 1, the factor below has precisely the nonlinear scaling required by the clock L⁻² (1 - exp(-s)).

  1. def OAI.DefocusingNLS.expandingPhysicalAmplitude line 14
  2. theorem OAI.DefocusingNLS.expandingPhysicalAmplitude_norm line 17
  3. theorem OAI.DefocusingNLS.hasDerivAt_expandingPhysicalAmplitude line 23
  4. theorem OAI.DefocusingNLS.expandingPhysicalAmplitude_power line 34
  5. theorem OAI.DefocusingNLS.expandingPhysicalAmplitude_clock line 50