Fock representation for quaternion fields

Journal Article · Tue Mar 31 23:00:00 EST 1987 · Theor. Math. Phys.; (United States)

OSTI ID:5709759

Govorkov, A B

A Fock representation is determined for a nonrelativistic self-adjoint (Majorana) field based on quaternions, and the quantum mechanics of the parafermions of third order corresponding to it is formulated. Attention is drawn to the difference between the gauge pseudocolor SO(3) symmetry of the automorphisms of such a field and the global SU(3) symmetry of the states of the particles corresponding to it in the Fock space.

• Research Organization: Joint Institute for Nuclear Research, Dubna, USSR
• OSTI ID: 5709759
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 69:1; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANNIHILATION OPERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FIELD THEORIES
FOCK REPRESENTATION
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HERMITIAN OPERATORS
INVARIANCE PRINCIPLES
LIE GROUPS
MAJORANA THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM NUMBERS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SO GROUPS
SO-3 GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
VACUUM STATES
WAVE EQUATIONS
WAVE FUNCTIONS