31. :: : : What would the equivalent of the Dirac equation be for such a particle? 32. The spin connection arises in the Dirac equation when expressed in the language of curved spacetime. 33. It appears in the Dirac equation ( the following is an explicitly Einstein summation convention ): 34. In the limit, the Dirac equation reduces to the Weyl equation, which describes relativistic massless spin-particles. 35. Upon which the Dirac equation is built. 36. It describes a gauge field and its superpartner, namely a Weyl fermion that obeys a Dirac equation . 37. The Schr�dinger solution always puts the states at slightly higher energies than the more accurate Dirac equation . 38. The second pillar of QED consists of the relativistic theory of the electron, centered on the Dirac equation . 39. This was a major achievement of the Dirac equation and gave physicists great faith in its overall correctness. 40. The Dirac equation achieves the relativistic description of the wavefunction of an electron that Schr�dinger failed to obtain.