Triangular ballistic quantum dots: classical, semiclassical and wave mechanical electron dynamics

The relation between classical electron orbits and quantum mechanical wavefunctions is discussed in two ways, using the example of triangular ballistic quantum dots. Firstly, the frequency of conductance fluctuations observed in the magnetoresistance is linked, in the spirit of the semiclassical periodic orbit theory, to a specific classical electron trajectory that is also important for ballistic commensurability effects. Secondly, we present initial results of a method to construct semiclassical particle density distributions inside the dot and compare the result with those of the classical and the quantum mechanical calculations of particle density distributions.