Extensions and applications of the g-Hartree theory for atoms

By consequent use of functional techniques the Schroedinger picture of the quantum field theory has been described in closed analogy to qunatum mechanics. The starting point of a perturbative expansion forms the generalized infinite-dimensional harmonic oscillator for which a Fock-space representation for the wave functionals has been developed. The perturbation series of the wave functionals based on this has the shape of a Rayleigh-Schroedinger expansion. If in the construction of the Fock space the g-Hartree potential is used and g is optimized to the whole energy of the system so that the unperturbed energy is equal to the perturbed energy so a Brillouin-Wigner expansion arises. By this it was shown that the scattering theory can be also constructed in analogy to quantum mechanics. The asymptotic states are formed by the fully correlated wave functionals of the atom and the free electron and the channel T matrix fulfills a Lippmann-Schwinger equation in the normal form. Some approaches for the practical solution of this equation were discussed. The Rayleigh-Schroedinger form of the expansion was then used to formulate a g-Hartree expansion for hyperfine constants for atoms. The dipole constants for atoms with one electron in the open shell from lithium to thallium were for the ground state and the excited p states calculated in first order. (orig./HSI)