he Pierre Auger Observatory, located on a vast, high plain in western\ud
Argentina, is the world's largest cosmic ray observatory. The objectives\ud
of the Observatory are to probe the origin and characteristics of cosmic\ud
rays above 10(17) eV and to study the interactions of these, the most\ud
energetic particles observed in nature. The Auger design features an\ud
array of 1660 water Cherenkov particle detector stations spread over\ud
3000 km(2) overlooked by 24 air fluorescence telescopes. In addition,\ud
three high elevation fluorescence telescopes overlook a 23.5 km(2),\ud
61-detector infilled array with 750 in spacing. The Observatory has been\ud
in successful operation since completion in 2008 and has recorded data\ud
from an exposure exceeding 40,000 km(2) sr yr. This paper describes the\ud
design and performance of the detectors, related subsystems and\ud
infrastructure that make up the Observatory
Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for "exotic" Galilean dynamics. The system is indeed Hamiltonian and Liouville's theorem holds for the symplectic volume form. Suitably defined quantities satisfy hydrodynamic equations.cond-mat/0506051. to appear in Mod. Phys. Lett. B.
The main physical result of this paper are exact analytical solutions of the heavenly equation, of importance in the general theory of relativity. These solutions are not invariant under any subgroup of the symmetry group of the equation. The main mathematical result is a new method of obtaining noninvariant solutions of partial differential equations with infinite dimensional symmetry groups. The method involves the compatibility of the given equations with a differential constraint, which is automorphic under a specific symmetry subgroup, the latter acting transitively on the submanifold of the common solutions. By studying the integrability of the resulting conditions, one can provide an explicit foliation of the entire solution manifold of the considered equations.
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