UNITARY IRREDUCIBLE REPRESENTATIONS OF THE LORENTZ GROUP

Journal Article · Sat Feb 28 23:00:00 EST 1959 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.113.1367· OSTI ID:4249306

Fronsdal, C

The unitary irreducible representations of the inhomogeneous, proper Lorentz group are determineds using a prescription given by Wigners with special emphasis on the case of zero rest mass. The principal results are: (a) the construction of one-component representations for the case of zcro mass and discrete spin; (b) the existence of a Foldy-Wouthuysen transformation for zero mass and spin 1/2' (c) the construction of " position operators" for zero mass and spins 1/2 1; (d) the complete synthesis of the Diracs Majorans and Maxwell one-particle theories. (auth)

• Research Organization: CERN, Geneva
• NSA Number: NSA-13-013965
• OSTI ID: 4249306
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 113; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIRAC EQUATIONS
FERMIONS
FIELD THEORY
FOLDY-WOUTHUYSEN TRANSFORM
GROUP THEORY
LORENTZ TRANSFORMATIONS
MASS
MATHEMATICS
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN