The quantum mechanics of Einstein photons and generalized functions

Abstract

The article consider an interpretation of Majorana equations as a quantum Lorentz covariant equations for the field of Einstein photon. A photon with "deinterlaced" spins (with diagonal Hamiltonian) is considered, its generalized Green function as a functional on finite test functions and its Schr\"{o}dinger equation are constructed. The generalized process corresponding to this Green function is continued to $\sigma$-additive quantum generalized measure on the space dual to the compact subspace of a photon paths in $L_{2}(-\infty,\infty)$. In this case, the filling of whole space by such quantum field instantly occurs in the evolutionary problem. The last part of the article gives the calculation of the "Casimir forces" arising in this field.