Title: On the Quantum Mechanics of a Single Photon

Abstract: I will present some recent work with Michael Kiessling, where we show that a Dirac-type equation for a rank-two bi-spinor field on Minkowski configuration spacetime furnishes a Lorentz-covariant quantum-mechanical wave equation in position-space representation for a single free photon.  Our formulation yields conserved non-negative Born-rule-type quantum probabilities for the photon, with a  probability current density vector that transforms properly under Lorentz transformations.