# Particle in 3D box

1. May 26, 2014

### carllacan

1. The problem statement, all variables and given/known data

A particle is constrained by walls that form a cubic box. Obtain the wavecuntions and the energies.

2. Relevant equations

This is a summary of the solutions: http://quantummechanics.ucsd.edu/ph130a/130_notes/node202.html
Here there is also some info: http://en.wikipedia.org/wiki/Particle_in_a_box#Higher-dimensional_boxes

3. The attempt at a solution

I've managed to obtain the correct solution, but I didn't know how to state the boundary conditions and I had to decide the values of the constants using "intuition".

Could you explain me how would the BC look like in this scenario?

Thank you for your time.

2. May 26, 2014

### dauto

Wave function is zero at the walls.

3. May 26, 2014

### unscientific

Start off with one dimension, with the boundary condition dauto mentioned, show that $k = \frac{n \pi}{L}$ and the wavefunction must be of the form $sin (kx)$.

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