A new Hamiltonian for a massive relativistic particle with spin one in a generalized Heisenberg/Schrödinger picture

Abstract

We consider a particular 4-dimensional generalization of the transition from the Heisenberg to the Schrödinger picture. The space-time independent expansion with respect to the unitary irreducible representations of the Lorentz group is applied, as Fourier transformation in the Heisenberg picture, to the states of a massive relativistic particle. A new Hamiltonian operator has been found for such a particle with spin one.