~~ summarize and partially extend the existing theory of the Brownian motion for simple
systems like the free particle and the harmonic oscillator. Since that time the theory has been …

With a method first indicated by Ornstein the mean values of all the powers of the velocity u
and the displacement s of a free particle in Brownian motion are calculated. It is shown that u…

Some questions concerning the ideal Bose-Einstein gas are reviewed and examined further.
The bulk behavior including the condensation phenomenon is characterized by the …

The theory of gases in nonstationary states, given by Lorentz and Enskog, is generalized for
the quantum statistics to give the hydrodynamical equations and the distribution function in …

The considerations on the second virial coefficient B (T) given in the first part of this paper (see
Ref. 1) have been extended by taking into account the influence of Bose or Fermi …

In § 1 the connection is shown between the virial coefficients of K a-merlingh Onnes and the
probabilities to find pairs, triples and so on of molecules near each other (Eqs. (4)and (6)). A …

For a one‐dimensional fluid model where the pair interaction potential between the molecules
consists of a hard core and an exponential attraction, Kac has shown that the partition …

1. Introduction.-It was pointed out by one of us' that the theory of the so-called virial development
of the equation of state of a non-ideal gas, leads to combinatorial problems for certain …

It is investigated whether suitable generalizations of the field equations of current field theories
to equations of higher order may be of help in eliminating the divergent features of the …

With the spinor analysis developed by B. van der Waerden which comprises all representations
of the Lorentz group, even those not contained in ordinary tensor calculus, one is able to …