The itinerant oscillator model was introduced by Hill in order to account for the high frequency dielectric absorption. In contrast to the Langevin formulation which has been considered by various authors, we here present an analytic treatment of that model, involving discrete collisions and...

We generalize our investigation of the electron distribution function of anelectron gas interacting with phonons and moving in high crossed electric and magnetic fields. We consider the case of a degenerate gas: we look for conditions under which the distribution function is of a Fermi-Dirac...

According to Weyl one may associate a function with a dynamical operator; these functions depend on the parameters p and q and can be displayed in a p, q manifold, the W space. In the classical limit the W space becomes the phase space parametrised by the canonical variables. The function...

When an electron gas is submitted to a uniform magnetic field, the diamagnetic part of its magnetization is associated with amperian surface currents. In the weak-field limit, explicit expressions are found for the current density near an infinitely steep wall, and near a soft wall, for both...

We define a sequence of microscopic dynamical variables by decomposing a Hilbert space into orthogonal subspaces, and construct for them a new hierarchy of equations which is particularly useful for highly correlated systems. A formal solution is shown to give a microscopic expression of Mori's...

We study the underdamped Brownian motion of a particle in a force field, with a stochastic force whose memory is short compared with the relaxation time, by the method of the stochastic Liouville equation. We show that such a system may be modelled approximately by a diffusion Markov process, if...

A new theory based on a dielectric function and its sum rule is presented for the exchange energy and specific heat of a two-dimensional electron gas. The results are exact towards absolute zero.

The systematic procedure for deriving the Smoluchowski equation and successive corrections to it from the Fokker-Planck equation is modified and extended in such a way that it now also covers the case of several interacting Brownian particles with hydrodynamic interactions. This is done by means...

The Brownian motion of an almost spherical drop of viscous fluid is studied based on the equations governing fluctuating hydrodynamics. By assuming the continuities of the velocity and the tangential stress across the interface of the drop, a relation is derived which is similar to the...

In this paper an MTO method is presented to calculate deep levels in semiconductors due to a substitutional impurity cluster. The present approach combines several attractive features of both KKR and LCAO techniques. Furthermore the energy dependence is much more transparent than in the standard...