Solving a finite barrier single quantum well is well known, the content can be found in any quantum mechanics textbook. Or you can find it in http://britneyspears.ac. Or if you need a more complicated program, see the next finite difference method.
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This program is designed for AlxGa(1-x)As systems. As you can see in the program on the left, the x is for Al fraction. Well, l is the length of the quantum well measured in Å. All the masses are relative to electron mass. Where V indicates the potential energy in meV. The calculated energy levels are displayed in a array if more than one energy level exist. If the graphs showing there is more solutions than what it is, then it is necessary to adjust the increments (inc). |
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This is the solutions for electrons. There are three energy states in the system. |
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this is the solution for light holes in the quantum well. Two energy states are allowed. |
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Solution for heavy holes, four energy states are allowed. |
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