Having known classical wave optics and wave mechanics, can we reverse Schrödinger's path and extend the concept of families of rays of light to provide a new exact rendering of quantum optics including the Bose nature of photons? This question is answered in the affirmative, and the implications of the Bose symmetry for certain nonlocal correlations of the many-ray distribution functions are worked out. The similarities and the differences between classical and quantum wave optics are brought out. The ray-ray Bose (...) correlation is analyzed. The generating functional for the many-ray distribution functions is formulated; and the notion of paraxial illumination for quantum optics is made precise. (shrink)

Simple classical mechanical models are constructed to help understand the natures of certain unitary representations of the Lorentz groupSO(3, 1) associated with its action on spacetime. In particular, different kinds of Principal Series unitary irreducible representations ofSO(3, 1) with positive or negative quadratic Casimir invariant are seen to correspond to bounded and unbounded motions, respectively, in the mechanical models.

The Dirac generator formalism for relativistic Hamiltonian dynamics is reviewed along with its extension to constraint formalism. In these theories evolution is with respect to a dynamically defined parameter, and thus time evolution involves an eleventh generator. These formulations evade the No-Interaction Theorem. But the incorporation of separability reopens the question, and together with the World Line Condition leads to a second no-interaction theorem for systems of three or more particles. Proofs are omitted, but the results of recent research in (...) this area is highlighted. (shrink)