Hello, I'm doing an MSc project concerned with the treatment of plastic polymers with an μ-APPJ. I have been getting a tonne of results on different plastics using an APPJ of He carrier gas with an Oxygen admixture of 1/2, 1 & 2%.
However, in my analysis I'm unsure of what the dispersive...
Yeah but how do I show it?
I know the particles can exit the cross-section through a solid angle Ω = 2π(1-cosθ), but ingrating over this angle gives me π/4nv.
I think I am doing it completely wrong but I honestly don't know how to approach this problem any other way. Taking velocity...
Hello,
It is a finite cylinder of lets say length vdt, with a cross-sectional area A of 1cm^2
The particle 'source' is a simple 3D gas with maxwellian velocity distribution (which I have already accounted for). The gas particles bounce elastically off of the walls until they exit through...
I keep getting a factor of π/2 in my answer.
So I end up getting π/4nv which is wrong. Surely someone on this forum knows how to do this? I can't find any helpful sources on the internet, yet everyone quotes it religiously when the subject of particle flux comes up.
I understand that about 1/2 the particles go in opposite directions, so for one end of the cylinder you already have 1/2nv.. But you have to take into account the angular distribution of particles with a velocity distribution [v, v + dv] coming out of the end.
And this is where the solid angle...
Homework Statement
Consider a cylindrical vessel with cross-sectional area 1m^2
Derive the particle flux (1/4n\bar{v})
Homework Equations
I have the solid angle:
\Omega = 2π(1-cosθ)
The Attempt at a Solution
I'm assuming that the solid angle represents the full area that the particles...
Simply have the 2 x 2 matrix of Sx operate on the state v, then multiply your new 2 x 2 matrix with the conjugate of v.
And yes the conjugate of v is a transpose matrix with the i's all different.
Homework Statement
Use the variational method with a gaussian trial wavefunction ψ(x) = Ae^{\frac{-a^{2}x^{2}}{2}} to prove that in 1 dimension an attractive potential of the form shown, no matter how shallow, always has at least 1 bound state.
*Figure is of a potential V(x) that has a minimum...
Do you still have it? I want to become a more active contributing member of this forum, but Latex is firmly staunching my progress :( Of course I will learn, I just don't understand why it needs to be so complicated and at certain times 'clunky' to use :(