The multiple scattered wave self-consistent field Xα (MSW-SCF-Xα) method was used to calculate ionization potentials and charge distributions for the series XeF2, XeF4 and XeF6 as well as XeCl2. The role of the 5d orbitals on xenon was considered and its increasing significance for XeF4 and...

It has been claimed recently that there is a contradiction between the Langevin and Ito theories for nonlinear stochastic processes. We show that a simple reinterpretation reveals both these descriptions to be equivalent.

The interaction of conduction electrons with host ions are shown to give rise to “crystal fields”, VC, which act on the magnetic ion in some dilute magnetic alloys. Crystal fields, VN, arising directly from ions neighbouring the magnetic ion have been compared with VC to show that the...

In this first article of a series on multiple light scattering the set-up, procedure and results of experiments on the depolarization of light scattered by Xe and CO2 in the critical region are presented. The theoretical multiple-scattering formulae suggest the introduction of a “scaling”...

We consider a stochastic one-variable system obeying a Fokker-Planck equation with a potential exhibiting a point of marginal equilibrium. We analyze the growth of fluctuations for an initial distribution concentrated at this point, and in the limit of small diffusion coefficient θ, with the...

It is shown that the E-e and Γ8−τ2g Jahn-Teller systems are respectively the infinite direct sums of the integer and half-integer (with the exclusion of the pure Bose case) irreducible displaced para-Bose oscillators. The energy spectrum of an arbitrary displaced para-Bose oscillator is...

Formal solutions for the autocorrelation functions of density and the transversal current are discussed in the acoustic and quasihomogeneous regime. The poles of these functions are obtained without any restrictions imposed on Landau parameters. The formula for sound dispersion at T = 0 is...

The entropy at T = 0 of the spin-glass state of the random-bond binary mixture of the ferro- and antiferromagnetic exchange energies (±J model) is calculated by the method of the pair approximation. The values of S(T = 0) per spin are 0.0215607, 0.0981090, and 0.0390764, for z = 3, the SG1...

Glauber's continuous-time stochastic model for relaxation of spin systems is “imbedded” in discrete time as a Markov chain. The chain is a generalization of the Ehrenfest urn model as formulated by Hess. Some properties of the chain are discussed.

Fluctuations in nonlinear multidimensional dynamical systems caused by outer δ-correlated random forces are considered. The slowness of one of the motions at parameter values within the bifurcation region allows us to use the adiabatic approximation and hence to reduce the multidimensional...