The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrijdinger equation d2$/dx2 + k211, = k2P(x)II, + Q(x)Jt with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the ...

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...

0031-9007= In this Letter, we show that upper limits on the neutrino mass translate into upper limits on the class of neutrino-matter interactions that can generate loop corrections to the neutrino mass matrix. We apply our results to and decays and derive model-independent limits on six of the ten parameters used to parametrize contributions to decay that do not belong to the standard model. T...

Luc Demortier The Rockefeller University, New York, NY 10021, U.S.A. Abstract The standard Bayesian treatment of systematic uncertainties is to integrate out the corresponding nuisance parameters from the joint posterior density for all parameters. We apply this formalism to measurements in which the data cannot distinguish between nuisance parameters and parameters of interest, and show that i...

Freezing of gait (FoG) is a motor impairment among patients with advanced Parkinson’s disease which is associated with falls and has a negative impact on a patient’s quality of life. Wearable systems have been developed to detect FoG and to help patients resume walking by means of rhythmical cueing. A step further is to predict the FoG and start cueing a few seconds before it happens, which mig...

The 1918 influenza pandemic was characterized by multiple epidemic waves. We investigated reactive social distancing, a form of behavioral response where individuals avoid potentially infectious contacts in response to available information on an ongoing epidemic or pandemic. We modelled its effects on the three influenza waves in the United Kingdom. In previous studies, human behavioral respon...