Consider a quantum particle in a 3D box that is not a cube. It has side lengths:
a = 1 Å
b = 1 Å
c = 2 Å
Answer the following:
1. Derive the wave vector k in the terms of n_{x}, n_{y}, and n_{z}
2. find the equation for energy as a function of n_{x}, n_{y}, and n_{z}
_{3. List the five lowest energies a particle can have in this system and list all the different states for each}
* The derivation for 3 Dimensional box is actually the generalization of 1D problem. I am providing you the detailed solution for the wave vector and for the energy level I write down the value of And after inserting those values in the expression of energy and wave function we can write the whole exact energy and wavefunction. I have actually shown the one.
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Consider a quantum particle in a 3D box that is not a cube. It has side...
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