4,194 research outputs found
Free Malcev algebra of rank three
We find a basis of the free Malcev algebra on three free generators over a
field of characteristic zero. The specialty and semiprimity of this algebra are
proved. In addition, we prove the decomposability of this algebra into
subdirect sum of the free Lie algebra rank three and the free algebra of rank
three of variety of Malcev algebras generated by a simple seven-dimensional
Malcev algebra
Wire GEM detector
A wire GEM (WGEM) detector with a gas gap between meshes was constructed. The
detector provides the amplification 5x10E5 for the gas mixture of Ar +20% CO2
at atmospheric pressure. As compared with well-known GEM detectors produced by
perforation the plastic plate metalized on both sides the WGEM does not suffer
from breakdowns between its electrodes and the effect of accumulation of
charges on holes walls is absent. As a result the WGEM has high reliability and
stability.Comment: Presented at the RD51 Collaboration Meeting, CERN, November 2009,
submitted to the Prib. Tech. Expe
Probability-based comparison of quantum states
We address the following state comparison problem: is it possible to design
an experiment enabling us to unambiguously decide (based on the observed
outcome statistics) on the sameness or difference of two unknown state
preparations without revealing complete information about the states? We find
that the claim "the same" can never be concluded without any doubts unless the
information is complete. Moreover, we prove that a universal comparison (that
perfectly distinguishes all states) also requires complete information about
the states. Nevertheless, for some measurements, the probability distribution
of outcomes still allows one to make an unambiguous conclusion regarding the
difference between the states even in the case of incomplete information. We
analyze an efficiency of such a comparison of qudit states when it is based on
the SWAP-measurement. For qubit states, we consider in detail the performance
of special families of two-valued measurements enabling us to successfully
compare at most half of the pairs of states. Finally, we introduce almost
universal comparison measurements which can distinguish almost all
non-identical states (up to a set of measure zero). The explicit form of such
measurements with two and more outcomes is found in any dimension.Comment: 12 pages, 6 figures, 1 table, some results are extende
RETGEM with polyvinylchloride (PVC) electrodes
This paper presents a new design of the RETGEM (Resistive Electrode Thick
GEM) based on electrodes made of a polyvinylchloride material (PVC). Our device
can operate with gains of 10E5 as a conventional TGEM at low counting rates and
as RPC in the case of high counting rates without of the transit to the violent
sparks. The distinct feature of present RETGEM is the absent of the metal
coating and lithographic technology for manufacturing of the protective
dielectric rms. The electrodes from PVC permit to do the holes by a simple
drilling machine. Detectors on a RETGEM basis could be useful in many fields of
an application requiring a more cheap manufacturing and safe operation, for
example, in a large neutrino experiments, in TPC, RICH systems.Comment: Presented at the RD51 Collaboration Meeting, CERN, November 200
Peculiar properties of the cluster-cluster interaction induced by the Pauli exclusion principle
Role of the Pauli principle in the formation of both the discrete spectrum
and multi-channel states of the binary nuclear systems composed of clusters is
studied in the Algebraic Version of the resonating-group method. Solutions of
the Hill-Wheeler equations in the discrete representation of a complete basis
of the Pauli-allowed states are discussed for 4He+n, 3H+3H, and 4He+4He binary
systems. An exact treatment of the antisymmetrization effects are shown to
result in either an effective repulsion of the clusters, or their effective
attraction. It also yields a change in the intensity of the centrifugal
potential. Both factors significantly affect the scattering phase behavior.
Special attention is paid to the multi-channel cluster structure 6He+6He as
well as to the difficulties arising in the case when the two clustering
configurations, 6He+6He and 4He+8He, are taken into account simultaneously. In
the latter case the Pauli principle, even in the absence of a potential energy
of the cluster-cluster interaction, leads to the inelastic processes and
secures an existence of both the bound state and resonance in the 12Be compound
nucleus.Comment: 17 pages, 14 figures, 1 table; submitted to Phys.Rev.C Keywords:
light neutron-rich nuclei, cluster model
On the stability and growth of single myelin figures
Myelin figures are long thin cylindrical structures that typically grow as a
dense tangle when water is added to the concentrated lamellar phase of certain
surfactants. We show that, starting from a well-ordered initial state, single
myelin figures can be produced in isolation thus allowing a detailed study of
their growth and stability. These structures grow with their base at the
exposed edges of bilayer stacks from which material is transported into the
myelin. Myelins only form and grow in the presence of a driving stress; when
the stress is removed, the myelins retract.Comment: 4 pages, 8 figures. Revised version, 1 new figure, additional
reference
Probability representation and quantumness tests for qudits and two-mode light states
Using tomographic-probability representation of spin states, quantum behavior
of qudits is examined. For a general j-qudit state we propose an explicit
formula of quantumness witnetness whose negative average value is incompatible
with classical statistical model. Probability representations of quantum and
classical (2j+1)-level systems are compared within the framework of quantumness
tests. Trough employing Jordan-Schwinger map the method is extended to check
quantumness of two-mode light states.Comment: 5 pages, 2 figures, PDFLaTeX, Contribution to the 11th International
Conference on Squeezed States and Uncertainty Relations (ICSSUR'09), June
22-26, 2009, Olomouc, Czech Republi
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