Electrical fluctuations proportional to the square of the external field are investigated in the case of quasi-equilibrium conditions. The binary correlation function, proportional to the square of the external field, is expressed in terms of the zero-field quaternary correlation function for...

We consider a free electron gas in the presence of a uniform magnetic field and confined by a cylindrically symmetric harmonic potential in the directions normal to the field. The density matrix in Boltzmann statistics is evaluated exactly and it is shown that the electron gas rotates uniformly...

The complete Fokker-Planck equation of the Brownian motion in a potential consisting of harmonic parts is studied as a method of providing chemical transition rates. General, analytic solutions are obtained for the situations of moderate or strong damping. These results generalize the treatment...

In this paper it is shown that the electromagnetic interaction can be introduced according to the usual prescription of the minimal electromagnetic interaction into a field equation of second order in time and of fourth order in the space coordinates for bosons, which was proposed in a previous...

Canonical and transversity representations of the Poincaré algebra and their associated spin-S and -Z algebras are studied in the infinite-momentum frame in which the particles [m, s] are moving very fast. The corresponding formulae are discussed in connection with the boost basis introduced in...

It is proven that, under physically reasonable conditions, the correlation functions satisfying the BBGKY equations for an infinite system are also solutions of the Mayer-Montroll and Kirkwood-Salsburg equations. The relation between these correlation functions and the probability distributions...

The microscopic theory of hydrodynamical and relaxation processes in cholesteric liquid crystals is developed from first principles based on the methods of modern nonequilibrium statistical thermodynamics. A statistical description is given of orientational deformation, orientational order and...

A re-evaluation is given of the temperature dependent term in the first order exchange contribution to the grand partition function for an electron gas. The existence and origin of the logarithmic term in the temperature-dependent part are shown in a very simple manner.