Aa. Kiselev et al., Calculational approach for the structure of electron and hole levels in quantum dots of varying shape, PHYS REV B, 60(11), 1999, pp. 7748-7751
Another approach to the calculation of electron and hole states in quantum
dots is proposed. It benefits from the particular choice of products of pow
ers of Cartesian coordinates as a basis, since it is possible to evaluate a
ll required matrix elements analytically for these systems. A variety of do
t shapes in the presence of external electric fields can be analyzed conven
iently. This approach provides a way to calculate quantum dot ensemble aver
ages quickly and effectively. [S0163-1829(99)09235-8].