On the hidden U-italic(3) symmetry of the electron

Journal Article · Tue Apr 01 04:00:00 EST 1986 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5084617

Izmest'ev, A A

It is shown that the Zitterbewegung and internal degrees of freedom of a relativistic particle are related to the Lie algebra of SO(5). The SO(5) algebra is the dynamical algebra of the electron. It is also shown that the electron Hamiltonian is invariant under transformations of the group U(3), that is, the Dirac theory contains a hidden U(3) symmetry due to the Zitterbewegung and the existence of a dynamical algebra. We find four triplets which satisfy the Dirac equation and form the basis of the fundamental representations of the group SU(3).

• Research Organization: Institute of Nuclear Research, USSR Academy of Sciences
• OSTI ID: 5084617
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 43:4; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HAMILTONIANS
LEPTONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SO GROUPS
SYMMETRY GROUPS
U GROUPS
U-3 GROUPS
WAVE EQUATIONS
ZITTERBEWEGUNG