Computing carrier interactions with confined and excluded phonons in nanostructures of complex geometries

We provide a simple and highly effective procedure for calculating quantiti es such as electron scattering rates involving confined and excluded phonon s for quantum wires of arbitrary geometry. This problem is particularly dif ficult to solve by the usual summation procedure as well as by alternative treatments proposed thus Car. To demonstrate the strength of our approach, we produce exact analytical results in the case of a quantum well. As a num erical example, we consider a classic T-shaped structure with different siz es and radii of curvature at the intersections. We examine the possibility of manipulating structural characteristics such as electron-phonon scatteri ng rates by making minor modifications to the quantum wire cross-sectional geometries. [S0163-1829(99)11215-3].