COORDINATE COVARIANCE AND THE PARTICLE SPECTRUM

Journal Article · Sun Apr 01 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.126.319· OSTI ID:4831023

Joseph, D W

An attempt is made to find an analog, for the quantum mechanics of non- Euclidean space-time, to the classification of representations of the Lorentz group. The difficulty of obtaining any such classification in terms of curvilinear coordinates is pointed out, and the use of a higherdimensional set of pseudo-Euclidean coordinates is chosen as an alternative mode of classification. A class of representations then follow easily. On the basis of an intuitive approximation it is found that spectra of elementary particles, with conservation of quantities of the nature of isotopic spin, seem to arise from these representations. (auth)

• Research Organization: Purdue Univ., Lafayette, Ind.
• NSA Number: NSA-16-018596
• OSTI ID: 4831023
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 126; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELEMENTARY PARTICLES
GROUP THEORY
ISOSPIN
MATHEMATICS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPECTRA