Recent content by KostasV

Thank you for your response :)

So it is wrong to normalize the function with the two delta functions that he gives using ##<a|a>=1## because it actually goes to infinity. So how could we normalize ##ψ(x)=δ(x-a)+δ(x-a)## in a correct way ?

Hello there ! I found this discussion http://physics.stackexchange.com/questions/155304/how-do-we-normalize-a-delta-function-position-space-wave-function about dirac notation and delta function . The one that answers to the problem says that ##<a|a>=1## and ##<a|-a>=0## . As far as i know: 1)...

Thank you very much ! :)

Ok that was an easy integral but what if i have something more complicated like ##\int_{φ=0}^{2π} \int_{θ=0}^π \sin θ \ \cos θ~Y_{11}^*~Y_{1-1}~dθ \, dφ## ? If we use parity here we see that the parity of the integrated function is (-1) and the integral must be zero! No calculations ! Just used...

Hello people! I have ended up to this integral ##\int_{φ=0}^{2π} \int_{θ=0}^π \sin θ \ \cos θ~Y_{00}^*~Y_{00}~dθ \, dφ## while I was solving a problem. I know that in spherical coordinates when ##\vec r → -\vec r## : 1) The magnitude of ##\vec r## does not change : ##r' → r## 2) The angles...

Thank you very much :)

Hello people ! Hope you are fine! I tried to find the inner product that u can see below, between two different radial functions. I was expecting to find zero but i found something nonzero. You can see my two questions below in the photo.

Thanks for your response to my issue !

So, in problem 3.5 he probably wanted to change the relation between ##\hat{A}## and ##|\phi_n\rangle## to ##\hat{A}## ##|\phi_n\rangle## = n ##\alpha_o\ ## ##|\phi_{n+1}\rangle## (in order not to be anymore eigenstates of ##\hat{A}## ) but forgot to mention it?

1. Homework Statement (Uploaded photo from Zettili Quantum Mechanics - Chapter 3 - Solved problems 3.4 and 3.5) Check at problem 3.4 the relation that he gives between operator A and state φn. Now check the relation that he uses in problem 3.5 between A and φn again. They are different while on...

Thank you very much for the help ;)

i am concerned about the components ! Ok, let's say that i find that [H,L]=0 (so L -angular momentum vector- is being conserved) ! Do i have to find the commutators [H,Lx] , [H,Ly] , [H,Lz] or i am sure that they will all be zero due to the fact that [H,L]=0 ?

Hello ppl ! If i find that a physical quantity (lets say angular momentum operator vector L) is conservative (this means [H,L]=0 - H=hamiltonian ) then its 3 components Lx , Ly and Lz are being conserved too ? That happens with every conservative vector operator ? Like spin vector S and his...

Thank you very much for your help :D