Application of Dirac's generalized Hamiltonian dynamics to atomic and molecular systems

Dirac's generalized Hamiltonian dynamics (GHD) is a purely classical formalism to describe mechanical systems with constraints, which it incorporates into the Hamiltonian. We show how quantization information can be included by choosing the integrals of motion as constraints, and demonstrate the construction of this novel classical Hamiltonian by applying GHD to electron motion in a hydrogenic atom.