Almost global existence for quasilinear wave equations in three space dimensions

We prove almost global existence for multiple speed quasilinear wave equations with quadratic nonlinearities in three spatial dimensions. We prove new results both for Minkowski space and also for nonlinear Dirichlet-wave equations outside of star shaped obstacles. The results for Minkowski space generalize a classical theorem of John and Klainerman. Our techniques only use the classical invariance of the wave operator under translations, spatial rotations, and scaling. We exploit the decay of solutions of the wave equation as much as the decay. Accordingly, a key step in our approach is to prove a pointwise estimate of solutions of the wave equation that gives decay of solutions of the inhomogeneous linear wave equation in terms of a -weighted norm on the forcing term. A weighted space-time estimate for inhomogeneous wave equations is also important in making the spatial decay useful for the long-term existence argument.

     

Continuous Blooming of Convex Polyhedra

We construct the first two continuous bloomings of all convex polyhedra. First, the source unfolding can be continuously bloomed. Second, any unfolding of a convex polyhedron can be refined (further cut, by a linear number of cuts) to have a continuous blooming.     

Improved Measurement of the Cabibbo-Kobayashi-Maskawa angle alpha using B0(B) --> rho+rho- decays

We present results from an analysis of B(0)B(0)--> rho(+)rho(-) using 232 x 10(6) Gamma (4S) --> BB decays collected with the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC. We measure the longitudinal polarization fraction f(L) = 0.978 +/- 0.014(stat) + 0.021 / -0.029(syst) and the CP-violating parameters S(L)= -0.33 +/- 0.24(stat) + 0.08 / -0.14(syst) and C(L)= -0.03 +/- 0.18(stat) +/- 0.09(syst). Using an isospin analysis of B --> rhorho decays, we determine the unitarity triangle parameter alpha. The solution compatible with the standard model is alpha = (100 +/- 13) degrees.     

On the Analytical Derivation of Quantum Fisher Information and Skew Information for two Qubit X States

The quantum Fisher information defined via the symmetric logarithmic derivative and the skew information are two different aspects describing the information contents of quantum mechanical density operators. They are considered as natural generalizations of the classical Fisher information and constitute key ingredients in the emerging field of quantum metrology. In this paper, we give the analytical expression of quantum Fisher information and skew information for two-qubit system prepared in a two-qubit state of X type.

     

A phase space analysis of baroclinic flow

The qualitative dynamics of a baroclinic flow experiment are studied by constructing phase space coordinates from a single time series. As the stress on the flow is increased we observe steady, periodic, quasiperiodic, and chaotic flow. The chaotic attractor we observe near the transition has the appearance of a thickened torus.     

Photochemistry without light - reaction of active oxalate esters with anthracenophanes

Certain anthracenophanes undergo photochemistry without light, sensitised by active oxalates. Although the quantum yield of sensitisation is extraordinarily high, no direct evidence for the expected radical cation intermediate has been found.     

Quantum oscillatory phenomena in graphite intercalated with AsF5

Both Shubnikov-de Haas and de Haas-van Alphen oscillations are reported for C_8nAsF₅ (n=1,2, is the stage number). The observed oscillations are interpreted in terms of a tight-binding model for the band structure, and good agreement with both band parameters and effective carrier masses is found. In addition, the effective charge transfer per AsF₅ molecule (f=.37 for stage 1, =.41 for stage 2) is in basic agreement with previous determinations.