We propose a self-consistent many-body theory for the standard basis operator Green's functions and obtain an exact Dyson-type matrix equation for the interacting many-level systems. A zeroth order approximation, which neglects all the damping effects, is investigated in detail for the...

In this paper a Green function formalism is presented to determine the influence on the density of states around an edge dislocation. The deformation of the environment is taken into account and no semi-empirical parameters enter into the theory. It is shown that the approximations made have...

Dynamical functions depending on the state of one marked test particle of a classical many-body system are considered. The time evolution is described by differential equations whose coefficients are random and in addition depend on the initial state of the test-particle. To remove this...

The general results of article I on the stochastic representation of the macroscopic stationary state of a self-catalytic chemical system are applied to a step-by-step chemical reaction. The relaxation times to the quasi-stationary state and to the final stationary state are computed by...

The well-known model-potential theory of simple metals is extended to finite temperature range and applied to Na, K and Al equation of state calculation up to a few eV. An approximate expression of temperature dependent exchange-correlation effects has been derived. The results are quite...

The theory of the intramolecular polymer chain collapse (coil-globule transition) is developed for a space of arbitrary dimensionality d. It is shown that for d 3 the coil-globule phase transition is of the first order, while for d 3 it is of the second order. In addition, some conclusions are...

A simple projection operator method is developed for computing nonequilibrium ensemble averages for systems that are close to a state of local equilibrium. The formalism used here is a straight-forward generalization of the Mori-Zwanzig techniques used in linear response theory and it avoids...

The projective renormalization group is used to study the ground state critical properties of the quantum spin model obtained from a classical spin 1 Ising model via the transfer matrix. The thermal exponent calculated is found to be in good agreement with the value obtained from low temperature...

The translational friction coefficient of a porous cylindrical disk moving in a sheet of fluid which is embedded on both sides in a fluid of different viscosity, is calculated numerically for a wide range of the relevant parameters. These results are used to evaluate the region of validity of...

The dynamics of solid-like systems and the VH (Vertical-Horizontal) light scattering spectrum from such systems are studied by using the Generalized Hydrodynamic Matrix Method. The results are in agreement with the phenomenological theory.