Comparison of Spin Dynamics in the Cylindrical and Frenet-Serret Coordinate Systems

Abstract

A comparative analysis of a description of spin dynamics in the cylindrical and Frenet-Serret coordinate systems is carried out. An equivalence of these two systems is shown. A possibility of efficient use of the cylindrical coordinate system for a calculation of spin evolution of particles and nuclei in accelerators and storage rings is caused by an immobility of its coordinate axes relative to stationary detectors.

arXiv comment7 pages

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• Difference of measured proton and He3 EDMs: a reduced systematics test of T-reversal invariance
• Systematic error studies for the charged particle EDM measurement proposal
• Berry phases in an electric-dipole-moment experiment in an all-electric storage ring
• Corrections for a constant radial magnetic field in the g-2 and electric-dipole-moment experiments with muons in storage rings
• Dynamics of a tensor polarization of particles and nuclei and its influence on the spin motion in external fields