Recent content by dpeagler

Sgd37 I am aware that the product of the eigenvalues has to be 1, but there are an infinite number of combinations that I can create. I'm not sure if the eigenvalues have to be real or not since I don't think that the unitary matrix is necessarily Hermitian. I'm probably missing something...

Homework Statement If U is a 2 x 2 unitary matrix with detU=1. Show that |TrU|≤2. Write down the explicit form ofU when TrU=±2 Homework Equations Not aware of any particular equations other than the definition of the determinant and trace. The Attempt at a Solution I have...

Homework Statement Let ϕn(x) be the complete ortho-normal set of eigenstates of the Hamiltonian H = T +V and En, n = 0, 1, 2, are the corresponding eigenvalues. The E0 is the ground state energy. (a) If ϕ(x) is an arbitrary normalized state, show that E0 < = ∫dxϕ(x)Hϕ(x). (b) Consider one...

Thanks for the response. The only thing I am confused about is why you are plotting the derivative over the same range. It is only supposed to be at the point Pi/4

I have been trying to plot a vector and it's derivative for a while now, but I cannot figure out why I can't get them to plot. Here is what I put for my code... a[t_] := Sin[t] Cos[2 t] b[t_] := Sin[t] Sin[2 t] c[t_] := Cos[t] V[t_] := {a, b, c} I tried this...

Would a small LED work just as well? The voltage in that area of the circuit should be high enough to overcome the diode drop correct? I'm just wondering because I don't think the lab I am working in has a buzzer comparable to the one in the diagram.

I have this circuit that I found on the internet and I see for the most part how it works. But for some reason I am misunderstanding something about it because it seems to me that the buzzer would always be on. Perhaps I am confused due to the use of both a pnp and an npn transistor (I only have...

This is just a project for the end of my circuits class. Nothing fancy just something the teacher gave out to try to stir up more interest into circuits. I prefer it to not be complex at all. I would like for it to be as simple as it can be and still establish the task. What I really...

Sorry, I guess I should have been more specific. The school is picking of the bill and has pretty much everything you can imagine. It is also on a bread board not a duct tape masterpiece.

Hello all, I am in a circuits class now and we are doing our end of the year project. I have decided that I want to do some sort of circuit that counts things. For the actually counting portion of the circuit I am just busting open a cheap little calculator and connecting two leads to the =...

Thanks that worked a lot better. Just curious about some of the terms you used. Particularly RHS? Thanks again.

Hello everyone, I apologize for posting such an introductory mathematica question, but I can't find an answer anywhere. I seem to be having trouble assigning variables and then plotting with the variable name. Perhaps I'm thinking too much in terms of ordinary computer programming or...

Homework Statement A cosmic ray proton is moving at a speed of 0.8c as it travels from the moon to the earth. The distance from the moon to the Earth is 3.844*10^5 km (ignore any motions of the Earth and moon). The mass of an electon is 0.511 MeV/c^2 and the proton to electron mass ratio is...

The filter is just a simple RC Circuit with the knee I mentioned earlier.

Sorry about leaving out the details. The knee of the filter is >> 60Hz. I'm not sure of the exact value, but I think it is something on the order of 2.7*10^5 Hz. All the experiment asks is what is the observed values of frequency. However, for some reason I kept getting ~60Hz and this was...