Relativistic Scattering of Two Equalmass Particles.

Classical relativistic spin particles

Relativistic spin particles are approached from the stand point of Hamil-tonian actions of Poincaré group on itself. The several possible solutions are classified and realizations are given in terms of Dirac's constraints formalism.

Relativistic diffusion of massless particles

We obtain a limit when mass tends to zero of the relativistic diffusion of Schay and Dudley. The diffusion process has the log-normal distribution. We discuss Langevin stochastic differential equations leading to an equilibrium distribution. We show that for the Jüttner equilibrium distribution the relativistic diffusion is a linear approximation to the Kompaneetz equation describing a photon d...

Localization of non-relativistic particles

This paper is a contribution to the problem of particle localization in non-relativistic Quantum Mechanics. Our main results will be (1) to formulate the problem of localization in terms of invariant subspaces of the Hilbert space, and (2) to show that the rigged Hilbert space incorporates particle localization in a natural manner. PACS numbers: 03.65.-w

Relativistic Brane Scattering

We calculate relativistic phase-shifts resulting from the large impact parameter scattering of 0-branes off p-branes within supergravity. Their full functional dependence on velocity agrees with that obtained by identifying the p-branes with D-branes in string theory. These processes are also described by 0-brane quantum mechanics, but only in the non-relativistic limit. We show that an improve...

General formula for the inelastic scattering of relativistic spin-1⁄2 particles by heavy atoms