Particle in 3D box

  • Thread starter carllacan
  • Start date
  • #1
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Homework Statement



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

Homework 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

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.
 

Answers and Replies

  • #2
1,948
201
Wave function is zero at the walls.
 
  • #3
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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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