Relativistic theory of motion in the external field for a system with internal degrees of freedom

Journal Article · Mon Jul 01 04:00:00 EDT 1963 · Nuovo Cimento

DOI:https://doi.org/10.1007/BF02750156· OSTI ID:4620956

Nevzglyadov, V. G.

The Lorentz-covariant theory of motion in an external field is developed for a mechanical system with 12 degrees of freedom. 3 translational, 3 rotational, and 6 deformation degrees. The system is called a relativistically homogeneous deformation body. The theory is a generalization of a previously published theory for the homogeneous deformation body, which is a generalization of the absolute solid body. In the way M. Born and Herglotz set the problem of giving the Lorentz-covariant form to the theory of solid motion, the rotational degrees of freedom disappeared and the solid body of the relativistic theory could move only translationally. The problem is set in a more generalized way and includes in the solution a relativistic top as a special case. The developed equations were analyzed and the first intregrals of motion were obtained. The quantum theory was built as a generalization for internal degrees of freedom of the Schrodinger relativistic equation and the Dirac equation. The possibility of the existence of the particle' s classical spin commuting with the quantum spin was found. As an example an evaluation of the value of the proton magnetic momentum is provided.

• Research Organization: Leningrad State Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-040240
• OSTI ID: 4620956
• Journal Information: Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 1 Vol. 29; ISSN 0029-6341
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIRAC EQUATIONS
ELEMENTARY PARTICLES
MAGNETIC MOMENTS
MOTION
PHYSICS
PROTONS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN