Nonrelativistic equations of motion for particles with arbitrary spin

Journal Article · Tue Sep 01 00:00:00 EDT 1981 · Sov. J. Particles Nucl. (Engl. Transl.); (United States)

OSTI ID:5670338

Fushchich, V I; Nikitin, A G

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.

• Research Organization: Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
• OSTI ID: 5670338
• Journal Information: Sov. J. Particles Nucl. (Engl. Transl.); (United States), Vol. 12:5
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LAGRANGIAN FIELD THEORY
EQUATIONS OF MOTION
GALILEI TRANSFORMATIONS
GROUP THEORY
IRREDUCIBLE REPRESENTATIONS
L-S COUPLING
SPIN
ANGULAR MOMENTUM
COUPLING
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INTERMEDIATE COUPLING
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
TRANSFORMATIONS
645400* - High Energy Physics- Field Theory