9,881 research outputs found
Comment on: How the result of a single coin toss can turn out to be 100 heads
Ferrie and Combes [PRL 113 120404 (2014)] produce a classical measurement
scheme that supposedly exhibits `anomalous' weak values. I show that their
model is flawed due to an incorrect definition of the weak value. As a
consequence their claims are invalid.Comment: Includes a brief response to the the published reply [Phys. Rev.
Lett. 114, 118902 (2015)
Exclusive vector meson electroproduction at HERA
The latest results on exclusive vector meson electroproduction from HERA are
reviewed. In particular, the new high-statistics measurements of the rho^0
electroproduction are presented and compared to several models.Comment: 8 pages, 15 figures, talk presented at the 12th internationa
conference of elastic and diffractive scattering, Hamburg, May 21-25, 200
General Bilinear Forms
We introduce the new notion of general bilinear forms (generalizing
sesquilinear forms) and prove that for every ring (not necessarily
commutative, possibly without involution) and every right -module which
is a generator (i.e. is a summand of for some ), there is a
one-to-one correspondence between the anti-automorphisms of \End(M) and the
general regular bilinear forms on , considered up to similarity. This
generalizes a well-known similar correspondence in the case is a field. We
also demonstrate that there is no such correspondence for arbitrary
-modules.
We use the generalized correspondence to show that there is a canonical set
isomorphism between the orbits of the left action of \Inn(R) on the
anti-automorphisms of and the orbits of the left action of \Inn(M_n(R))
on the anti-automorphisms of , provided is the only right
-module satisfying . We also prove a variant of a theorem
of Osborn. Namely, we classify all semisimple rings with involution admitting
no non-trivial idempotents that are invariant under the involution.Comment: 26 page
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