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The single-band effective mass approximation method and transfer matrix theory is used to study the transmission probability of a single electron transmission through a quantum ring (SETQR) device. The calculated results can be used to design optimum high-speed resonant-transmission devices and for SETQR application in quantum information processing and quantum computing.

A variational-perturbation method based on a direct construction of trial wave functions were used to calculate the effects of the geometrical shape on two electrons confined in a two-dimensional parabolic quantum dot and subjected to an external uniform magnetic field. The calculations show that both the energy levels and the spin transition of two electrons in elliptical quantum dots are dramatically influenced by the shape of the dots.

The transmission through coupled quantum dots (CQDs) is calculated using the coupled-channel recursion method. The results show that the conductance peaks move to high energy as the CQDs radius decreases or the period increases.

The transmission through quantum dots (QDs) is calculated using the recursion method. The results show that the shapes of the QDs determine the number of resonant tunneling peaks and the distances between the peaks decrease as the radii of the Qds increase.

The dephasing rate, time evolution of the quantum state of the electron in an InAs/GaAs quantum dot (QD), and the interaction of the two electrons located in different QDs is studied. The time evolution of the quantum mechanical state of an electron is calculated.