74 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
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