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