I would like to know the degeneracy of a particle in a 3-dimensional box with cartesian coordinates x,y,z?

Question

quantum mechanics

Answer 1

wow, you must be real smarty guy

Answer 2

Do you mean the degeneracy of the energy levels of a quantum particle in a Box Potential with infinite walls?
Is so you should find solution of Schroedinger equation for a free particle in a 3d box.
It is not so hard to do! you find K vectors. all K vectors with the same modulus are degenerate in facts the have all the same eigenvalue for the hamiltonian :
1/2 * |K|^2 * h(cut)/ (2* m)
where m is the mass of the particle

Answer 3

degeneracy of a particle in a 3-dimensional box with cartesian coordinates x,y,z can be found .it requires calculus.

Answer 4

For any potential well:

There is no degeneracy between energy levels for different values of the orbital angular momentum quantum number (L) of the particle.
Each energy level of orbital angular momentum quantum number L is (2L+1)-fold degenerate with respect to the magnetic quantum number (M).

This feature is common to all central potentials, both finite and infinite.

Answer 5

particular, why not, i'm assuming t is time? i think it would desire to define a element's area relative to whilst it got here approximately. do not question me to tell apart it nevertheless. x, y, z is annoying sufficient. i think, x, y, t might want for use for television & notebook displays, even with the reality that extra advantageous than probably matrices are a quicker way of dealing with the information.

Answer 6

I just answered this

wait, nevermind, this questions asks something a little bit different. Too much effort my friend.