yes...
if N is total number of atoms;
y=1/8000 is the decay rate (number of decay/sec)
t= 1 hours = 3600sec is the period atoms be in the box
so: 1/8000 * 3600 * N = 0.45N i.e. the percentage of atoms remaining in excited state is 55%.
after this..i should evaluate the probably...
Hello! i have a trouble with an exercise of a course of structure of matter.
Helium atoms in the excited state 23S1 come out from a box at v=2000 m/s and pass trough an Stern & Gerlach apparatus with dB/dz=25 T/m and length L=0.30m. Atoms spends 1 hour in the box and the average-time for...
Hi all!
Homework Statement
The problem is:
For a particle with electric charge equal to that of one electron, the trajectory radius R is related to the absolute value of the perpendicular component P_{\bot}of the relativistic moment perpendicular to \textbf{B} from the relation...
hi all,
I have a problem about rotation operator in QM.
I must verify that (\hat{U}(R)f)(\textbf{x})=f(R^{-1}\textbf{x})
with: \hat{U}(R) = exp({\frac{-i\varphi\textbf{nL}}{\hbar}})
R rotation on versor n of angle \varphi
I don't really know how to start, so please give me an advice!
...continue:
and the next is what I found with another method:
(\frac{- \hbar ^2}{2 \mu} \frac{\partial^2}{r \partial r^2} r + \frac{\hbar^2 l(l+1)}{2 \mu r^2 } - \frac{m \omega^2 r^2}{2}) R(r) = E R(r)
\rho=\alpha r
\alpha=\sqrt{m \omega/ \hbar}
dr=\frac{d...
if I make the substitution : u(r)=rR(r)
it become:
(\frac{- \hbar ^2}{2 \mu} \frac{\partial^2}{\partial r^2} + \frac{\hbar^2 l(l+1)}{2 \mu r^2 } - \frac{k r^2}{2}) u(r) = u R(r)
...isn't it??
so... after find the solution to be u_{kl}(r) = r^{l+1}e^{-\nu r^2}L^{l+1/2}_k(2\ny...
Hi to everybody of PF community!
I have some troubles to find eigenfunctions common to H, L_{z}, L^2 in the problem of spherical simmetric harmonic oscillator.
I start with the Hamiltonian H=\frac{\textbf{p}^2}{2 \mu} - \frac{1}{2}k\textbf{x}^2 that in spherical coordinates become...
no but...yes..I can try to evaluate <K> using phi(p) instead the phi(r) and should obtain the same result ,no?
can I ask you where are you from malawi?