The geometry of recursion operators

We study the fields of endomorphisms intertwining pairs of symplectic structures. Using these endomorphisms we prove an analogue of Moser's theorem for simultaneous isotopies of two families of symplectic forms. We also consider the geometric structures defined by pairs and triples of symplectic forms for which the squares of the intertwining endomorphisms are plus or minus the identity. For pairs of forms we recover the notions of symplectic pairs and of holomorphic symplectic structures. For triples we recover the notion of a hypersymplectic structure, and we also find three new structures that have not been considered before. One of these is the symplectic formulation of hyper-Kaehler geometry, which turns out to be a strict generalization of the usual definition in terms of differential or Kaehler geometry.Comment: cosmetic changes only; to appear in Comm. Math. Phy

Quantum hypothesis testing for quantum Gaussian states: Quantum analogues of chi-square, t and F tests

We treat quantum counterparts of testing problems whose optimal tests are given by chi-square, t and F tests. These quantum counterparts are formulated as quantum hypothesis testing problems concerning quantum Gaussian states families, and contain disturbance parameters, which have group symmetry. Quantum Hunt-Stein Theorem removes a part of these disturbance parameters, but other types of difficulty still remain. In order to remove them, combining quantum Hunt-Stein theorem and other reduction methods, we establish a general reduction theorem that reduces a complicated quantum hypothesis testing problem to a fundamental quantum hypothesis testing problem. Using these methods, we derive quantum counterparts of chi-square, t and F tests as optimal tests in the respective settings.Comment: 34 pages, 3 figure

Balloon Measurements of Cosmic Ray Muon Spectra in the Atmosphere along with those of Primary Protons and Helium Nuclei over Mid-Latitude

We report here the measurements of the energy spectra of atmospheric muons and of the cosmic ray primary proton and helium nuclei in a single experiment. These were carried out using the MASS superconducting spectrometer in a balloon flight experiment in 1991. The relevance of these results to the atmospheric neutrino anomaly is emphasized. In particular, this approach allows uncertainties caused by the level of solar modulation, the geomagnetic cut-off of the primaries and possible experimental systematics to be decoupled in the comparison of calculated fluxes of muons to measured muon fluxes. The muon observations cover the momentum and depth ranges of 0.3-40 GeV/c and 5-886 g/cmsquared, respectively. The proton and helium primary measurements cover the rigidity range from 3 to 100 GV, in which both the solar modulation and the geomagnetic cut-off affect the energy spectra at low energies.Comment: 31 pages, including 17 figures, simplified apparatus figure, to appear in Phys. Rev.

Virtual Machines Migration Technologies as a Strategy for Regional Manufacturing Companies

Modern approaches to the automation of business processes are increasingly confronted with questions of increase of efficiency of use of available computing resources. The transition to cloud computing technology makes the company to revise approaches to the assessment of their own capabilities and look for ways to reduce operating costs, it does not complicate the process of information infrastructure management. In the competitive environment of the organization following the path optimization of capital and operating costs through the introduction of new technologies, as well as through the transition and migration to a more cost-effective technologies

Singlet oxygen photogeneration from X-O-2 van der Waals complexes: double spin-flip vs. charge-transfer mechanism

Contains fulltext : 149635.pdf (publisher's version ) (Open Access

Prospects of Using Fly Ash Produced at Kemerovo State District Power Station

Experimental results of fractional and chemical composition fly ash from Kemerovo SDPS (Russia, Kuzbass) are presented. The technological scheme of complex utilization of fly ash and its economic characteristics is given

Prospects of Using Fly Ash Produced at Kemerovo State District Power Station

Experimental results of fractional and chemical composition fly ash from Kemerovo SDPS (Russia, Kuzbass) are presented. The technological scheme of complex utilization of fly ash and its economic characteristics is given