Recent content by Kentaxel

Yes of course, it should be [p_x,x^3]=[p_x,x]x^2+x[p_x,x^2]=-3i\hbar x^2. Thank you!

I'm having some difficulties with a certain commutator producing inconsistent results. Specifically I'm referring to [p_x,x^3] Depending on how i expand this it seems i get different coefficients, i.e [p_x,x^3]=[p_x,x]x^2+x^2[p_x,x]=-i\hbar x^2 -x^2i\hbar=-2i\hbar x^2 However...

I think i figured this out, so i'll post the results here in case someone would find it useful. To calculate the amount of atoms with a spin state corresponding to the applied magnetic field one would calculate the amounting magnetisation due to the number of atoms existing in that desired...

Maybe i should say this is Introductory Solid state physics. I'd modify the title but I'm not sure i can?

Homework Statement How large externally applied magnetic filed (B_{0}) is necessary in otder for 51% of the metal ions in CuSO(_{4}) to have their magnetic moments oriented in the same direction as the applied field when the salt is kep at room temperature? Homework Equations B=\mu_{0}(H+M)...

So what do i need to find them? I got the vectors from the Jy-matrix and its eigenvalues, could i use this somehow? I also know J+, J-, Jz and the eigenvectors/values for the (chi)z, could this be usefull? I can't figure out how to put it together but the full solution requires a normalized vector.

Homework Statement For the function \chi^{(y)}=c_{1} \left( \begin{array}{ccc} -1\\ i\sqrt{2}\\ 1\end{array} \right) + c_{2} \left( \begin{array}{ccc} 1\\ 0\\ 1\end{array} \right) + c_{3} \left( \begin{array}{ccc} -1\\ -i\sqrt{2}\\ 1\end{array} \right) how...

The reason i choose to separate it was because of the following questions which are Show that ψ is not an energy eigenfunction. and Compute the probability to find the system in the groundstate of the hamilton operator when measuring the energy. Where regarding the first one i thought that...

Homework Statement Find the constant A such that the equation \psi(r,\theta,\varphi)=\sqrt{6\pi}A\sqrt{r}e^{-r/a} Wich describes one electron in a hydrogenatom, is normalized The Attempt at a Solution I figured this equation is seperable in the form...

Very neat explanation, thank you so much it really helps allot!

Yes i see what you meen, i was thinking of it the wrong way. The function is in fact already given in a manner where it's (\phi,\theta)-dependence can easily be separated from its r-dependance. so all i have to do is calculate clm =<lm|Y> for whatever Y[l,m] corresponds to the desired eigenvalue...

Homework Statement I have a wavefunction ψ(r), I want to know what the probability of obtaining a specific value, say 0, Is upon measuring the z-component of the angular momentum Lz What do i do? The Attempt at a Solution My first thought is to apply the Lz-operator to my function and see...

So how would i actually apply this to my problem? The initial task was to show that the uncertainity principle comes out of the relation between the wavefunction in position-space and momentum-space. This seems to me like using another definition to obtain the desired result. By width of...

1. Homework Statement [/b] Normalize the following wave function, obtain the corresponding function in position-space (fourier transform) and find the width of the distribution in the x variable. Homework Equations \phi(p_x) = \begin{cases} 0, & \;\; |p_x-p_0| > \gamma \\ C, & \;\...