BALLISTIC TRANSPORT IN NANOSTRUCTURES - EXPLICITLY SOLVABLE MODELS

The theory of self-adjoint operator extensions is applied to the const ruction of a sufficiently large class of exactly solvable ballistic tr ansport models in nanostructures. In the models obtained, the transmis sion coefficient T(E) demonstrates a simple dependence on the paramete rs of the modeled device and the external magnetic field. Examples are given of the models of quantum dots in which T(E), and thus the condu ctance, exhibit on oscillatory behavior.