Ah, ok. I had hoped to solve this symbolically. Can't we just say that the radius of the sphere is R. The sphere is far enough away, at distance D, and the field of view small enough (say width W and height H) that we see some small portion of the sphere, as given in the picture.
If...
I have given neither the radius of the sphere nor the distance to it. Nor have I given the size of my field of view (FOV). All of these things are constants (I do have these values, but I don't think they're necessary - I'd like to do this symbolically). What is not constant is the position...
I have a rectangular field of view (FOV) through which I am viewing a sphere at a distance such that I can only see small parts of the sphere through the FOV at a time. Usually my FOV contains part of the sphere and free space. My question is: how can I calculate the surface area of the sphere...
Exactly! Vmin=0... and therefore E<0 always gives E<Vmin. So I don't understand.
I double checked the question. It specifically states E<0. It then asks if there are any bound states (answer=no), and wants me to draw the wave function.
I was told that E<0 just means that the energy is...
Given a delta function barrier located at x=0: V(x) = +a * delta(x)
If you have a particle incident from the left with E<0, what does the wave function look like??
I have trouble with this because I thought the particle energy needed to be greater than the minimum potential (E > Vmin) for...
Thank you for the reply, Rach3, I really appreciate it.
I see now that I'm not differentiating exp(-abs(x)) correctly, let alone the second derivative. But when I try to follow your instructions, I find that I'm still not comfortable with differentiating this.
Phi = exp(-abs(x))...
I have a time dependent wavefunction for inside a delta function potential well: V(x) = -a delta(x).
It reads
Psi(x,t) = (sqrt(m*a)/hbar) * exp(-m*a*abs(x)/hbar^2) * exp(-iEt/hbar)
I'm supposed to stick this back into the time dependent Schrodinger Equation and solve for E.
Taking my...