BOUNDARY-ELEMENT METHOD FOR CALCULATING ELECTRON IIND PHONON STATES IN QUANTUM WIRES AND RELATED NANOSTRUCTURES

Here we present a class of efficient techniques to calculate the elect ronic states and the phonon modes of semiconductor quantum wires and q uantum dots of general shape. In it, the differential equations and bo undary conditions which determine these excitations are shown to lead to integral equations over the interfaces of the nanostructures which can be served straightforwardly by matrix techniques. Examples are giv en of electron and phonon states of several quantum wire and dot struc tures.