A Simple Technique for the Monte Carlo Simulation of Transport in Quantum Wells
A simple technique that can be implemented in the Monte Carlo (MC) simulation of transport in a quantum well is reported. The main difference between the proposed technique and existing methods is the use of three dimension momentum (3Dk) particles in the simulation of a quantum region. The use of 3Dk particles within a quantum well structure facilitates the MC simulation of transport in nanoscale devices which contain both the classical and quantum regions.
We describe preliminary results from an effort to quantify the uncertainties in parton distribution functions and the resulting uncertainties in predicted physical quantities. The production cross section of the $W$ boson is given as a first example. Constraints due to the full data sets of the CTEQ global analysis are used in this study. Two complementary approaches, based on the Hessian and the Lagrange multiplier method respectively, are outlined. We discuss issues on obtaining meaningful uncertainty estimates that include the effect of correlated experimental systematic uncertainties and illustrate them with detailed calculations using one set of precision DIS data.