New spin- 1/2 wave equation

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526947· OSTI ID:5888719

Nash, P L

A su(2)is contained inso(3,1)is contained inso(3,3) spin Casimir operator is shown to equal a sl(2,R) Casimir operator. This sl(2,R) Casimir operator may be factored to yield a wave equation describing a massive spin- 1/2 particle. This wave equation possesses only timelike momentum solutions, of both positive and negative energy. Moreover, the expectation value of the electric dipole moment, with respect to these solutions, vanishes in a rest frame of the particle.

• Research Organization: Division of Earth and Physical Sciences, University of Texas at San Antonio, San Antonio, Texas 78285
• OSTI ID: 5888719
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
BANACH SPACE
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
DIPOLE MOMENTS
DIRAC OPERATORS
EIGENSTATES
ELECTRIC DIPOLE MOMENTS
ELECTRIC MOMENTS
EQUATIONS
EXPECTATION VALUE
FACTORIZATION
FIELD THEORIES
FUNCTIONS
HILBERT SPACE
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SO GROUPS
SPACE
SPACE-TIME
SPIN
SPINORS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
TIME DEPENDENCE
UNITARITY
WAVE EQUATIONS
WAVE FUNCTIONS