Semiclassical theory for many-body fermionic systems

Semiclassical Theory for Many-body Fermionic Systems Typeset Using Revt E X

We present a treatment of many-body Fermionic systems that facilitates an expression of the well-known quantities in a series expansion in h̄. The ensuing semiclassical result contains to a leading order of the response function the classical time correlation function of the observable followed by the WeylWigner series, on top of these terms are the periodic-orbit correction terms. The treatment...

Uniform semiclassical approximations for one-dimensional fermionic systems

A thorough account is given of the derivation of uniform semiclassical approximations to the particle and kinetic energy densities of N noninteracting bounded fermions in one dimension. The employed methodology allows the inclusion of non-perturbative effects via an infinite resummation of the Poisson summation formula.

Many-body theory of degenerate systems

The many-body theory of degenerate systems is described in detail. More generally, this theory applies to systems with an initial state that cannot be described by a single Slater determinant. The double-source (or closed-time-path) formalism of nonequilibrium quantum field theory is used to derive an expression for the average value of a product of interacting fields when the initial state is ...

Many–body Theory of Non–equilibrium Systems

Many-body Scattering Theory of Electronic Systems

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable three-particle system. For the latter case we discuss the existence of an approximate separability of the long and the short-range dynamics which is exposed in an appr...