Mathematics – Logic
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt........18j&link_type=abstract
Ph.D. Thesis California Univ., Santa Barbara.
Mathematics
Logic
1
Dirac Equation, Gravitational Fields, Lorentz Transformations, Neutrinos, Particle Spin, Cosmology, Eigenvalues, Eigenvectors, Mathematical Models, Quantum Mechanics
Scientific paper
The Lorentz and coordinate covariant calculus of spinors in Riemannian spacetime, which is the mathematical model for the description of the quantum mechanics of elementary particles with spin interacting with classical gravitation field, is explored. The Dirac equation describing the interaction of neutrinos with gravitational fields of the Robertson Walker cosmological world models is separated, and the spectrum of eigenfunctions and eigenvalues for particular choices of the set of quantum numbers is given explicitly for the k=0 and k=+1 models. The mathematical theory of the motion of a perfect fluid whose elements interact via long-range neutrino-exchange forces, as well as gravitationally, is developed. This theory is used to calculate the effects of long-range Weak interaction forces arising from multiple neutrino exchange on the dynamical evolution of the Robertson-Walker cosmological world models.
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