Homework Statement
I've pasted the actual question below:
http://www.zeta-psi.com/aj/qip5b.png
I don't think there are many quantum computing specific things here other than the circuit (which I can derive easily if I can figure out the algorithm)
Homework Equations
The Quantum Fourier...
So it's apparently possible to prove that e^{-iAx} = cos(x)I + isin(x)A given that A^2=I.
What I don't understand is how this is supposed to be derived. Any help would be appreciated as this is driving me nuts and this is probably something that is very easy to prove...
So, we have an external electric field E_{ex} being subjected to a hydrogen atom and thus adding the following term to the perturbation:
H^{'} = -e\vec{E_{ex}} \cdot r.
The first question asks to find the correction to the energy treating it as a perturbation, and hints to use the external...
This is a very simple question, but I can't seem to get it right, there's probably something silly that I'm missing here. Here's the question:
I have A system in the l=1 state, and I have L_z|\ket{lm} = \hbar m\ket{lm}and L^2 \ket{lm} = \hbar^2 l(l+1)\ket{lm}
I need to find the eigenvalues...