841 research outputs found
Rejection of the Light Quantum: The Dark Side of Niels Bohr
Evidence is recalled of the strong opposition of Niels Bohr, at the time of
the Old Quantum Theory 1.913-25, to the Lichtquanten hypothesis of Einstein.
Some episodes with H.A. Kramers, J.C. Slater and W. Heisenberg are recollected;
Bohr's changing point of view is traced back to some philosophical antecedents
and to his endeavour to deduce quantum results from the Correspondence
Principle. Some consequences for the future interpretation of Quantum
Mechanics, specially to the Complementarity Principle, are considered.Comment: 15 page
Relation of the cyclotomic equation with the harmonic and derived series
We associate some (old) convergent series related to definite integrals with
the cyclotomic equation , for several natural numbers ; for
example, for , , leads to
. In some
cases, we express the results in terms of the Dirichlet characters.
Generalizations for arbitrary are well defined, but do imply integrals
and/or series summations rather involved.Comment: This paper has been accepted in The Scientific World Journal, and
will appear in brie
Graphical and Kinematical Approach to Cosmological Horizons
We study the apparition of event horizons in accelerated expanding
cosmologies. We give a graphical and analytical representation of the horizons
using proper distances to coordinate the events. Our analysis is mainly
kinematical. We show that, independently of the dynamical equations, all the
event horizons tend in the future infinity to a given expression depending on
the scale factor that we call asymptotic horizon. We also encounter a subclass
of accelerating models without horizon. When the ingoing null geodesics do not
change concavity in its cosmic evolution we recover the de Sitter and
quintessence-Friedmann-Robertson-Walker models.Comment: Latex2e, 27 pages, 4 figures, submitted to Class. Quantum Gra
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