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

Number of issue

31

Language

English

Status

Published

Link

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

Share

IEEE EUROCON 2009, EUROCON 2009.
2009.
P. 1819-1822

Journal of Mathematical Analysis and Applications.
Academic Press Inc..
Vol. 359.
2009.
P. 752-764