Question

# Consider a quantum particle in a 3D box that is not a cube. It has side...

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

1. Derive the wave vector k in the terms of nx, ny, and nz

2. find the equation for energy as a function of nx, ny, and nz

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.

#HI, if you are happy and find this useful please thumbs up. In case, if you have any query regarding the solution please let me know in the comments section below . Thanks!!

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