RESONANT-TUNNELING STUDIES OF CHAOS IN QUANTIZED SYSTEMS

This paper gives a brief introductory overview of quantum chaology, wi th particular reference to recent experimental work involving the use of semiconductor heterostructures. In the presence of a tilted magneti c field, a double-barrier resonant-tunnelling device incorporating a q uantum well produces a chaotic stadium for electron motion. The basic properties of this system are described. It is shown how resonant magn etotunnelling spectroscopy provides firm experimental evidence for the effect of scarred wave functions on a physically-measurable property, in this case the measured current-voltage characteristics of the devi ce. The paper concludes with some speculations concerning for the deve lopment of this field.