Homework Statement
Calculate the activity of ##^{222}Rn## in an ore sample containing 5g of natural uranium.
Homework Equations
##^{238}U## decay chain (to Radon): ##^{238}U\rightarrow^{234}Th\rightarrow^{234}Pa\rightarrow^{234}U\rightarrow^{230}Th\rightarrow^{226}Ra\rightarrow^{222}Ra##...
Thanks! This yields the answer I got doing it the above way but is much more satisfying. I didn't even think of solving the matrix elements individually like that for some reason. Quantum mechanical problem solving simply doesn't adhere to the same intuition as other problems in physics. I can...
After some thought, I've considered that maybe I can just use the vector representation of S_z kets in the S_x basis. That is,
|+>_x
\doteq
\begin{pmatrix}
1\\
0
\end{pmatrix}
in the S_x basis, and the same for the spin down ket, so I can just plug these vector representations...
Homework Statement
Find the matrix representation of S_z in the S_x basis for spin 1/2.
Homework Equations
I have the Pauli matrices, and I also have the respective kets derived in each basis. There aren't really any relevant equations, other than the eigenvalue equations for the...