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We have done a similar calculation for the case of a four electron quantum drop in the presence of a magnetic field. The field strength that we chose is on the higher range of currently accessible fields and was chosen only to illustrate the sort of effects that a magnetic field can be expected to have on the electronic energy levels of quantum drops. Table 2 shows the lowest four pairs of energy levels of the four electron quantum drop in the presence of a 235 Tesla magnetic field. The splitting of energy levels arises from the fact that the electron can circle the "north pole" in either a clockwise or counterclockwise direction thereby giving rise to angular momentum states that either align with the direction of the magnetic field or opposing the field. This behavior is characteristic of what is expected to the interaction of the electron spin with the magnetic field. The effect on the electronic trajectories due to the external magnetic field is shown in Figures 3 and 4. Figure 3 shows a top view of the four electron quantum drop with the magnetic field oriented along the z-axis which is shown in yellow and figure 4 shows the bottom view of the same drop.

Table 3 shows the lowest four energy levels for a four electron quantum drop in the presence of a very strong electric field. Again, the field strength has been chosen only to illustrate the Stark effect in the quantum drop system. The electric field that we are considering here is about 5000 KV/m and it is seen to cause shifting of the energy levels with respect to the field free case. Figure 5 depicts the four electron quantum drop again, this time in the presence of the very strong electric field which is oriented along the z-axis again shown in yellow.

Figure 2 Electron trajectories on a -10nm quantum drop with four electrons in the case of no external field

Table 2. The four lowest pairs ofenergy levels for a quantum drop with four electrons in a 235 Teslamagnetic field.

Level

Energy (au)

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