00:01
So this question is asking us to calculate the degeneracy of the energy levels given as like this point a, part a and part b.
00:15
So before we solve this problem, i want to just give you a quick review.
00:22
If we have a particle in a box of length l in each direction, so we can write the solution for the stationary state wave function.
00:31
Which is the function of position only as this equation in blue for each direction.
00:40
It's a similar solution as we know from the particle in a box in a one dimension.
00:48
It's only the product of three same functions.
00:52
And for the energy levels, if you want to calculate energy level, the equation is given in green, where we can clearly see we have three terms adding contribution from three different components like x, y, and z.
01:13
So what is this equation? this equation tells us that loud energies for a particle in a box, in a cube of side l.
01:24
So let's solve this problem...