Taking into account the strong anisotropy of the nanostructure, one can use the adiabatic approximation, in which fast transverse and slow in-plane movements may be considered separately, representing the

electron wave function as follows:

The range of these quantities is not affected by the specific form of the bound

electron wave function. In particular regarding b the above conditions imply

Based on the behavior of

electron wave function, they found that changing the dot spacing leads to a change in the intermediate band (IB) width and in the density of states, whereas varying the size of dots leads to a formation of a second IB.

The

electron wave function has the same the same periodicity as the crystal.

Section 3 is devoted to the calculations of

electron wave function at finite temperature.

Within such an approach, the information is carried by the amplitude of the

electron wave function in a given region of the quantum system.

The researchers read the hologram using the microscope to measure the energy state of a single

electron wave function. They showed they could read out an 'S' - for Stanford - with features as small as 0.3 nanometers.

Here, we commence the discussion first by manifesting the relation of dot spacing, S, with the

electron wave function and then with the width and position of IB.

The

electron wave function is more firmly localized inside the QD with decreasing the dot radius, and the Coulomb interaction between the electron and the impurity ion is enhanced, so the donor binding energy increases correspondingly.

When the wire radius decreases the

electron wave function is more compressed in the quantum wire leading to an enhancement of binding energy.

According to the standard interpretation of quantum theory, the collapse of the

electron wave function to one side or the other of the barrier, after the tunneling produces a component on each side, is purely a random event, internal to the quantum system.

According to the standard interpretation of the quantum theory, the collapse of the

electron wave function to one side or the other of the barrier, after the tunnelling produces a component on each side, is purely a random event, internal to the quantum system.