OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumPolarizedSubdivision.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Literal four-word subdivision for even-Y interactions. The mediator letter is Y precisely when each input factor has odd Y parity. All output coefficients are rational when the input coefficient and scale are rational.

  1. def OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.axis line 16
  2. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.single_flip line 18
  3. def OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.word line 50
  4. def OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.weight line 56
  5. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.weight_cast line 59
  6. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.sum_eq line 64
  7. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.support line 81
  8. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.yCount_join line 105
  9. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.yCount_single line 110
  10. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.parity_padding line 122
  11. theorem OAI.ContinuumCoulomb.QuantumPolarizedSubdivision.even line 129