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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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From Dirac to Neutrino Oscillations (Hardcover, 2000 ed.)
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From Dirac to Neutrino Oscillations (Hardcover, 2000 ed.)
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1bis text is meant to be a view of the quantum mechanical fonnalism
as it develops with the successive introduction of different types
oftransfonnations. In particular, it is meant to help the readers
with three tasks: acquainting themselves with a general and direct
approach to the quantum mechanics of spin one-half and spin-one
particles, primarily leptons, photons and massive vector bosons,
and to some extent quarks; finding out what some of the related
areas of current research interest are; and, last and foremost,
trying to understand the subject, beginning with and stressing the
principles involved. The exposition is based on finite-dimensional
representations of the homogeneous Lorentz group, and the
subsequent introduction of gauge transformations, of the Abelian
and non Abelian varieties. Reference to classical mechanics is
avoided. Acting on the simple basis spinors and vectors, Lorentz
transfonnations generate wave and field functions. Equations are
obtained by the relativistic generalization of the addition of
angular momenta, the wave or field functions being the solutions.
For zero mass the equations may be obtained as the limits of the
equations for the massive cases or by the application of the
Euclidian group in two dimensions. The latter approach is
illuminating in that it uncovers a loss in generality resulting
from the former. Identifying momenta as eigenvalues of translations
demonstrates covariance under the inhomogeneous Lorentz or Poincare
group. Various representations of wave and field functions are
given."
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