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Sarhad Journal of Agriculture

On the relativistics motion in homogeneous magnetic field as applied to free particle

Hye Mian, Syed Shabhi Haider, K. A. i Afridi

Published Aug 25, 1995• 0 citations
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First- and second-order Galileo-invariant systems of differential equations which describe the motion of nonrelativistic particles of arbitrary spin are derived. The equations can be derived from a Lagrangian and describe the dipole, quadrupole, and spin-orbit interaction of the particles with an external field; these interactions have traditionally been regarded as purely relativistic effects. The problem of the motion of a nonrelativistic particle of arbitrary spin in a homogeneous magnetic field is solved exactly on the basis of the obtained equations. The generators of all classes of irreducible representations of the Galileo group are found.