375 research outputs found
Relativistic Stern-Gerlach Interaction in an RF Cavity
The general expression of the Stern-Gerlach force is deduced for a
relativistic spin-1/2 particle which travels inside a time varying magnetic
field. This result was obtained either by means of two Lorentz boosts or
starting from Dirac's equation. Then, the utilization of this interaction for
attaining the spin states separation is reconsidered in a new example using a
new radio-frequency arrangement.Comment: 12 pages, 4 figure
Quantum-like approach to the transversal and longitudinal beam dynamics: The halo problem
An interpretation of the formation of halo in accelerators based on quantum-like theory by a diffraction model is given in terms of the transversal beam motion. Physical implications of the longitudinal dynamics are also examined
Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD
Starting from the relation between the kinetic energy of a free
Levy-Schroedinger particle and the logarithmic characteristic of the underlying
stochastic process, we show that it is possible to get a precise relation
between renormalizable field theories and a specific Levy process. This
subsequently leads to a particular cut-off in the perturbative diagrams and can
produce a phenomenological mass spectrum that allows an interpretation of
quarks and leptons distributed in the three families of the standard model.Comment: 8 pages, no figures. arXiv admin note: substantial text overlap with
arXiv:1008.425
Stern-gerlach force on a precessing magnetic moment
Use of the Stern-Gerlach force for attaining the spin- states separation of a particle beam is reconsidered in a new method where the magnetic moments are made to precess, at variance with a previously considered case where the magnetic moment conserves its direction in space
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