QM in 3d

[theoriginal169]

i understood Qm in 1d well but i started to study in 3d just a day ago and i have some questions. first of all quantum numbers and there are several polynomial functions such as Bessel. so i cant understand them so well . they are a little complicated and David Griffith who is the author of the book that i am studying did not explain them detailed. by the way i don't know electromagnetism well and i think the problem occurs cause of this but i don't want to spend time to learn that subject from beginning so what do you suggest to me.

 

i am looking for your responds.

[ajb]

The main ideas of quantum mechanics in 1-d holds in any dimensions. The difficulty can be in the fact that the systems are now typically degenerate. That is more than one state, labelled with quantum numbers will have the same energy.

 

Do you have any specific questions?

[theoriginal169]

could you explain more about the quantum numbers like magnetic and azimuthal.Also i didn't get what does Bessel function do. and there should be 3 states for each allowed energy is it true?

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u®=Arjl(kr)+Brnl(kr)

 

i didnt get this equation.

 

[math]\psi[/math][math]_{}n_{}lm[/math](r,[math]\phi[/math]),[math]\theta[/math])=A[math]_{nl}[/math]j[math]_{l}[/math]([math]\beta[/math][math]_{nl}[/math]r/a)Y[math]^{m}_{l}[/math]([math]\theta[/math],[math]\phi[/math])

and this what does beta represents?

Edited June 4, 2010 by theoriginal169
Consecutive posts merged.