Localization of Massless Spinning Particles and the Berry Phase

Directly Interacting Massless Particles - a Twistor Approach

Twistor phase spaces are used to provide a general description of the dynamics of a finite number of directly interacting massless spinning particles forming a closed relativistic massive and spinning system with an internal structure. A Poincaré invariant canonical quantization of the so obtained twistor phase space dynamics is performed. In November 1995 accepted for publication in JMP.

J an 1 99 6 DIRECTLY INTERACTING MASSLESS PARTICLES - A TWISTOR

Twistor phase spaces are used to provide a general description of the dynamics of a finite number of directly interacting massless spinning particles forming a closed relativistic massive and spinning system with an internal structure. A Poincaré invariant canonical quantization of the so obtained twistor phase space dynamics is performed.

Spin Hall effect and Berry phase of spinning particles

Geometry and Dynamics of Relativistic Particles with Rigidity

The simplest models describing spinning particles with rigidity, both massive and massless, are reconsidered. The moduli spaces of solutions are completely exhibited in backgrounds with constant curvature. While spinning massive particles can evolve fully along helices in any three-dimensional background, spinning massless particles need anti De Sitter background to be consistent. The main mach...

ar X iv : g r - qc / 0 00 90 67 v 2 9 M ay 2 00 1 Berry phase for spin – 1 / 2 particles moving in a spacetime with torsion

Berry phase for a spin–1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry phase only if the fermion is massless and its momentum is perpendicular to the direction of the background polarization. The order of magnitude of this Berry ph...