Minimal information in velocity space

Crystal Spheres in Velocity Space ?

In a collaborative programme involving Dr. B.N.G. Guthrie and the author at the Royal Observatory, Edinburgh, the claim that extragalactic redshifts are periodic, in the sense described by Tifft, is being subjected to a rigorous statistical scrutiny. The current status of this programme is discussed. First, the methodological approach and the analytical techniques are described. The latter are ...

Minimal Surfaces in Euclidean Space

2 Velocity-space Diffusion Process

We derive explicit forms of Markovian transition probability densities for the velocity space and phase-space Brownian motion of a charged particle in a constant magnetic field. An old-fashioned problem of the Brownian motion of a charged particle in a constant magnetic field has originated from studies of the diffusion of plasma across a magnetic field [1], [2] and nowadays, together with a fr...

Space dependent Fermi velocity in strained graphene.

We investigate some apparent discrepancies between two different models for curved graphene: the one based on tight-binding and elasticity theory, and the covariant approach based on quantum field theory in curved space. We demonstrate that strained or corrugated samples will have a space-dependent Fermi velocity in either approach that can affect the interpretation of local probe experiments i...

Alfven's Critical Velocity Effect Tested in Space

A sounding rocket experiment involving the injection of a barium gas jet in the upper ionosphere provided an opportunity of investigating quantitatively several aspects of the beam-plasma interaction that is the substance of Alfven's critical velocity effect. Whereas the experimental data are presented elsewhere, this paper contains some theoretical considerations of (1) the limiting neutral de...