Rigorous Approach to the Gravitational Lensing

We revisit a weak gravitational lensing problem by constructing a setup which describes the actual system as accurately as possible and solving the null geodesic equations. Details are given for the case of a Universe driven only by a cosmological constant, \Lambda, which confirm the conventional results: The conventional lensing analysis is correct as it is, without any need for correction of O(\Lambda). We also treat the cases of the lensing in generic FRW backgrounds.Comment: 6 pages, the discussion is revise

Does the WTO Matter? A Non-parametric view

WTO, Trade, Foreign Direct Investment, and Patenting

Wind and turbine characteristics needed for integration of wind turbine arrays into a utility system

Wind data and wind turbine generator (WTG) performance characteristics are often available in a form inconvenient for use by utility planners and engineers. The steps used by utility planners are summarized and the type of wind and WTG data needed for integration of WTG arrays suggested. These included long term yearly velocity averages for preliminary site feasibility, hourly velocities on a 'wind season' basis for more detailed economic analysis and for reliability studies, worst-case velocity profiles for gusts, and various minute-to-hourly velocity profiles for estimating the effect of longer-term wind fluctuations on utility operations. wind turbine data needed includes electrical properties of the generator, startup and shutdown characteristics, protection characteristics, pitch control response and control strategy, and electro-mechanical model for stability analysis

Spin Polarization of Photoelectrons from Topological Insulators

We show that the degree of spin polarization of photoelectrons from the surface states of topological insulators is 100% if fully-polarized light is used as in typical photoemission measurements, and hence can be significantly "higher" than that of the initial state. Further, the spin orientation of these photoelectrons in general can also be very different from that of the initial surface state and is controlled by the photon polarization; a rich set of predicted phenomena have recently been confirmed by spin- and angle-resolved photoemission experiments.Comment: A sentence on the effect of the imaginary part of the initial-state electron self energy is added to the published versio

Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases

Analysis of the electronic structure of an ordinary two-dimensional electron gas (2DEG) under an appropriate external periodic potential of hexagonal symmetry reveals that massless Dirac fermions are generated near the corners of the supercell Brillouin zone. The required potential parameters are found to be achievable under or close to laboratory conditions. Moreover, the group velocity is tunable by changing either the effective mass of the 2DEG or the lattice parameter of the external potential, and it is insensitive to the potential amplitude. The finding should provide a new class of systems other than graphene for investigating and exploiting massless Dirac fermions using 2DEGs in semiconductors.Comment: 5 pages, 4 figures, significant revision of abstract, text, and figure

B0 - B0 bar mixing, B -> J/psi K_S and B -> X_d gamma in general MSSM

We consider the gluino-mediated SUSY contributions to B0 - B0 bar mixing, B -> J/psi K_S and B -> X_d gamma in the mass insertion approximation. We find the LL mixing parameter can be as large as |delta_{13}^d_{LL}| < 2*10^-1, but the LR mixing is strongly constrained by the B -> X_d gamma branching ratio and we find |delta_{13}^d_{LR}| < 10^-2. The implications for the direct CP asymmetry in B -> X_d gamma and the dilepton charge asymmetry (A_{ll}) are also discussed, where substantial deviations from the standard model predictions are possible.Comment: 14 pages, 4 figure

The British American Rules: An experimental examination of pre-trial bargaining within the shadow of the law

A commonly held view is that the frequency and value of pre-trial settlements in civil disputes are greatly influenced by the cost allocation regime that is in place if the case goes to trial. There is a large and growing theoretical literature on this subject but almost no empirical evidence. This is due simply to the scarcity of relevant data owing to the confidentiality generally associated with such matters. However, the area is an ideal one to analyse experimentally. In this paper we consider the effect of the British and American rules for cost allocation using such an experimental methodology. We find that the two rules produce no difference in the frequency of pre-trial settlements but that the British rule produces higher settlements (pro-pursuer) if the probability of the pursuer winning is large.