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.

7 pages

References in corpus (6)

• Equation of spin motion in storage rings in a cylindrical coordinate system
• Quantum-mechanical description of spin-1 particles with electric dipole moments
• High-precision description and new properties of a spin-1 particle in a magnetic field
• Tensor electric polarizability of the deuteron in storage-ring experiments
• Potential for measurement of the tensor polarizabilities of nuclei in storage rings by the frozen spin method
• Potential for measurement of the tensor electric and magnetic polarizabilities of the deuteron in storage-ring experiments with polarized beams

Cited by in corpus (7)

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• Manifestations of the rotation and gravity of the Earth in high-energy physics experiments
• Relativistic spin dynamics conditioned by dark matter axions
• General description of spin motion in storage rings in presence of oscillating horizontal fields
• 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