Hello...
I didn't know which forum was the correct, so I hope it's ok to post it here.
Basically I'm looking for a magazine I can subscribe to. Recently I've had one, but it really wasn't interesting after the first few I got. Besides that it was a "normal person" magazine, which means...
Hmmm... I think I may have it now. But what if the ladder operators are used on state |3> fx. ? At least the a+ operator. Then it would raise it to state 4, but that state isn't represented here, so will that just equal 0, or... ?
a_+ \lvert n\rangle = \sqrt{n+1} \lvert n+1\rangle
and
a_- \lvert n\rangle = \sqrt{n} \lvert n-1\rangle
I think I did something like that, but as I said. I may have messed it up. But I was right with the thought I had ? I just need to redo the math perhaps ?
Homework Statement
Hello everyone...
I'm kinda stuck with a problem I'm trying to do.
The problem states:
Express the operator \hat{x} by the ladder operators a_{+} and a_{-}, and determine the mean of the position \left\langle x \right\rangle in the state \left| \psi \right\rangle.Homework...
A little question I'm not quite sure of.
When you try to do a Quantum Non-Demolition measurement, you have an atom which first goes into a Ramsey zone, and then into a cavity which shoots some photons at it. After that it comes out into another Ramsey zone again. And for the atom in a Ramsey...
I think so...
There is given a hint that I should look how to commutate the spin matrices, where fx. [Sx, Sy] = ihSz (i = complex number, h = h-bar) - if I remember correctly.
Homework Statement
Hi...
I'm having something about the Interaction/Dirac picture.
The equation of motion, for an observable A that doesn't depend on time in the Schrödinger picture, is given by:
\[i\hbar \frac{d{{A}_{I}}}{dt}=\left[ {{A}_{I}},{{H}_{0}} \right]\]
where...
Ahhh...
It said: IS the Fock states eigenstates for the operators, doh...
So when I use the operators on the Fock state, they are not eigenstates because of the |n-1> and |n+1> at the end, which should have been just |n> in each case, or am I way off ?
Homework Statement
I have to show that the Fock states are eigenstates for the operators {{\hat{a}}^{\dagger }} and/or {\hat{a}}
And I'm not totally sure how to show this.
Homework Equations
?
The Attempt at a Solution
I know that if I use the operators on a random Fock...
So instead of the above it's:
I=\int_{0}^{R}{J}\left( 2\pi R \right)dR-\int_{0}^{R/2}{J}\left( 2\pi R \right)dR
It gives the correct answer, but I don't know if that is what you meant ?
Homework Statement
I got this problem (Sectional image of a cylinder):
http://img715.imageshack.us/img715/3448/cylinder.jpg
Besides that I know that the cylindrical conductor is infinite long, and the same is the cavity.
And through the conducting material there is a current density that is...