The 14th energy level is the 14th highest energy value, if the energy level number was the product of 3 integers squared then you couldn't have a 1st, 2nd 4th etc. energy level. n_x^2+n_y^2+n_z^2 = 14 is the 6th energy level. :)
Homework Statement
In reference to the particle in an infinite, cubic well I have been asked to calculate the degeneracy of the 14th energy level and comment on its special nature.
2. The attempt at a solution
Notation: E_n = E (n_x , n_y , n_z)
E_14 =...
Ah yes Eczeno, you make a good point. I have done a couple of courses on linear algebra so I may go back and look at the conditions for a space and do some more tests. But seeing as a counterexample has been presented I do not see much hope.
Essentially I was trying to apply this to quantum...
Ah, I see. Now my task becomes a little trickier. Thanks for the help!
Are there any general rules which apply when modifying square integrable functions? For that would make my task easier.
Note: This is not a homework problem but merely independent study, if it's in the wrong place, please move!
Homework Statement
I want to know how changing a square integrable function changes the result of an integral. So that if a function is square integrable and you multiply it by x...