hamiltonian: (Named for the developer William Hamilton)
half-integral: (see integral, half-)
hole: Generally, the atoms in a semicondutor will form bonds with neighboring atoms in such a manner that each atom sees a "closed shell". Since the acceptor atom introduces fewer electrons, the shell is not closed; all of the electrons are tightly bound. The lack of a closed shell in the context of a semiconducting material is referred to as a hole. If an additional electron can be found, it will tend to fill the hole (close the shell). Occaisionally, it is possible for an electron in a neighboring closed shell to fill this shell leaving a new unclosed shell behind. So, the flow of electrons to the right (each moving right to fill a hole and leaving a new hole behind on the left) is equivolent to a hole moving to the left.