On a model of a classical relativistic particle of constant and universal mass and spin

The deformation of the classical action for a point-like particle recently suggested by Staruszkiewicz gives rise to a spin structure which constrains the values of the invariant mass and the invariant spin to be the same for any solution of the equations of motion. Both these Casimir invariants, the square of the 4-momentum vector and the square of the Pauli-Lubański vector, are shown to preserve the same fixed values also in the presence of an arbitrary external electromagnetic field. In the 'free' case, in the centre-of-mass reference frame, the particle moves along a circle of fixed radius with arbitrary varying frequency. In a homogeneous magnetic field, a number of rotational 'states' are possible with frequencies slightly different from the cyclotron frequency, and 'phase-like' transitions with spin flops occur at some critical values of the particle's 3-momentum. © 2009 IOP Publishing Ltd.

Authors
Kassandrov V. 1, 2 , Markova N. 1, 2 , Schäfer G.2 , Wipf A.2
Number of issue
31
Language
English
Status
Published
Number
315204
Volume
42
Year
2009
Organizations
  • 1 Institute of Gravitation and Cosmology, Russian Peoples' Friendship University, Moscow, Russian Federation
  • 2 Institute of Theoretical Physics, Friedrich-Schiller University, Jena, Germany
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2890/
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