85 research outputs found
Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
In this work we substantiate the applying of the Helmholtz vector
decomposition theorem (H-theorem) to vector fields in classical
electrodynamics. Using the H-theorem, within the framework of the two-parameter
Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic
vector potentials exist: one of them (solenoidal) can act exclusively with the
velocity of light c and the other one (irrotational) with an arbitrary finite
velocity (including a velocity more than c . We show also that the
irrotational component of the electric field has a physical meaning and can
propagate exclusively instantaneously.Comment: This variant has been accepted for publication in Found. Phys.
Letter
Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory
The classical Kramer sampling theorem establishes general conditions that
allow the reconstruction of functions by mean of orthogonal sampling formulae.
One major task in sampling theory is to find concrete, non trivial realizations
of this theorem. In this paper we provide a new approach to this subject on the
basis of the M. G. Krein's theory of representation of simple regular symmetric
operators having deficiency indices (1,1). We show that the resulting sampling
formulae have the form of Lagrange interpolation series. We also characterize
the space of functions reconstructible by our sampling formulae. Our
construction allows a rigorous treatment of certain ideas proposed recently in
quantum gravity.Comment: 15 pages; v2: minor changes in abstract, addition of PACS numbers,
changes in some keywords, some few changes in the introduction, correction of
the proof of the last theorem, and addition of some comments at the end of
the fourth sectio
Investigation of Light Nucleus Clustering in Relativistic Multifragmentation Processes
The use of emulsions for studying nuclear clustering in light nucleus
fragmentation processes at energies higher than 1A GeV is discussed. New
results on the topologies of relativistic Li-7 and B-10 nucleus fragmentation
in peripheral interactions are given. A program of research of the cluster
structure in stable and radioactive nuclei is suggested.Comment: 4 pages, 1 figure. Presented at Conference on Fundamental
Interactions, 2-6 December 2002, ITEP, Moscow, Russia (misprints are removed
Measurement of the ββ2ν decay of 76Ge
Abstract From the data taken with one of the enriched detectors of the Heidelberg-Moscow ββ experiment a half-life of T 1 2 2v = (1.42 ± 0.03 ( stat ) ± 0.13 ( syst )) × 10 12 yr for the two-neutrino double-beta ( ββ 2 ν ) decay of 76 Ge is derived. The 76 Ge exposure is 19.3 mol yr. This result represents the first high statistics measurement and probably the first undoubtable evidence of this extremely rare nuclear decay mode. The measured decay rate is in good agreement with the theoretical predictions
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