OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/VerticalEnergy.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

The normalized Gaussian actually attains transverse oscillator energy freq/2, by the differential equation and integrable integration by parts.

  1. def OAI.ContinuumCoulomb.verticalForm line 12
  2. theorem OAI.ContinuumCoulomb.verticalMode_second_product_integrable line 16
  3. theorem OAI.ContinuumCoulomb.verticalMode_energy_ibp line 26
  4. theorem OAI.ContinuumCoulomb.verticalMode_energy line 39