Additional Curvature of Spinning-Particle Trajectories Proportional to the Trajectory Torsion
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 555-563

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In the geometric optics approximation, we predict the effect of an additional curvature of the trajectories of particles (an analogue of the inverse Magnus optical effect). The effect is determined by the polarization (chirality) and torsion of particle trajectories. We find that the considered effect is linked to the Berry phase. The effect is a consequence of the conservation law for the angular momentum of the particles. We show that the effect must result in ultracold neutrons deviating from the mirror reflection law.
Keywords: polarization, Magnus optical effect, chirality, electrostatic lens, Berry phase.
Mots-clés : neutron guide
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     author = {N. R. Sadykov},
     title = {Additional {Curvature} of {Spinning-Particle} {Trajectories} {Proportional} to the {Trajectory} {Torsion}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {555--563},
     publisher = {mathdoc},
     volume = {144},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_3_a7/}
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N. R. Sadykov. Additional Curvature of Spinning-Particle Trajectories Proportional to the Trajectory Torsion. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 555-563. http://geodesic.mathdoc.fr/item/TMF_2005_144_3_a7/