Amplitude equations for a linear wave equation in a weakly curved pipe

We study boundary effects in a linear wave equation with Dirichlet type conditions in a weakly curved pipe. The coordinates in our pipe are prescribed by a given small curvature with finite range, while the pipe's cross section being circular. Based on the straight pipe case a perturbative analysis by which the boundary value conditions are exactly satisfied is employed. As such an analysis we decompose the wave equation into a set of ordinary differential equations perturbatively. We show the conditions when secular terms due to the curbed boundary appear in the naive peturbative analysis. In eliminating such a secularity with a singular perturbation method, we derive amplitude equations and show that the eigenfrequencies in time are shifted due to the curved boundary.Comment: To appear in J Phys A: Math. Theo

Generation Mixing of Sneutrinos in Heavier Chargino Decay

The heavier chargino decay could yield two charged leptons of different generations, owing to generation mixing of sneutrinos. We discuss the possibility of producing $e$ and $\mu$ through this process in near future collider experiments. The analyses are made systematically in the supersymmetric extension of the standard model without assuming a specific scenario for the mixing. Production of the heavier chargino is evaluated in $e^+e^-$ collisions. In the parameter region consistent with nonobservation of the radiative $\mu$ decay, sizable parts lead to a detectable branching ratio for the generation-changing decay of the heavier chargino.Comment: 22 pages, Revtex, 7 figures. v2: For the total width of the heavier chargino, the contribution from the decay into a charged slepton and a neutirno has been included. The figures (Figs. 2, 3, 4, 5), the equations and the related descriptions in sections II and III have been revised. Several references and equations added. v3: Several sentences of section I and V have been rewritten, conclusions unchange

Centre for Metropolitan History Annual Report 2003-4

The Centre produces a short report each year covering its activities. This is the report for 1 August 2003 - 31 July 2004