Statistical Mechanics of Quantum Dots

摘要

In 1995, the main objective of our research was the nonuniversal properties of quantum dots. Typical behavior of these closed systems of large but finite number of electrons is usually called quantum chaos. This means something opposite to behavior of quantum integrable systems where spectra can be characterized by a set of quantum numbers. Quantum chaos can be caused either by disorder or by geometry of a quantum dot or by interactions between electrons. It was intensively studied for several years. Probably the most popular characteristics of chaotic quantum systems are the statistics of energy spectra.