Quantum theory of particles of indefinite mass: Spin- 1/2

Journal Article · Tue Oct 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526735· OSTI ID:5263063

Hostler, L

The quantum theory of particles of indefinite mass investigated earlier by Hostler (J. Math. Phys. 21, 2461 (1980); 22, 2307 (1981)) is adapted to apply to spin- 1/2 particles. The proposed wave equation is ) 1/2 Pix(1+isigma)xPi+(1/i)(partial/partiallambda)) phi = 0, Pi/sub ..mu../ = p/sub ..mu../-eA/sub ..mu../, in which phi is a 2 x 1 Pauli spinor and sigma is a spin tensor whose Lorentz components are 2 x 2 Pauli spin matrices. Particle scattering by an external c-number static field is computed within the framework of the new formalism, and agreement with the known physics of a charged spin- 1/2 particle is obtained for this special case.

• Research Organization: Physics Department, Wilkes College, Wilkes Barre, Pennsylvania 18766
• OSTI ID: 5263063
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:10; ISSN JMAPA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
BOUNDARY CONDITIONS
CONSERVATION LAWS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INTEGRAL EQUATIONS
MASS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PARTICLES
PAULI SPIN OPERATORS
POTENTIAL SCATTERING
PROPAGATOR
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCATTERING
SPIN
WAVE EQUATIONS