Hi all,
I'm reviewing device physics and I would like to understand how majority and minority carrier concentrations for both N- and P-type substrates change with temperature. My reference, Pierret's Semiconductor Device Fundamentals, has this figure:
and I want to generate curves for all...
I have something to add. I think I figured out these questions; please confirm:
1. k-spacing:
Looks right on the initial post
2. Number of electrons:
N = (2N_a) (2 N_b)(2 N_c) = 8 N_a N_b N_c
From the 1D analysis at the edge of the 1st Brillouin zone:
n_a \frac{2\pi}{L_a} = \frac{\pi}{a}...
Hi all,
I’m brushing up my skills on solid state physics and I have a few questions about crystal lattices:
1. What’s the spacing between allowed kx, ky, and kz states for a lattice of dimensions La x Lb x Lc?
My attempt:
The spacing is kx, ky, and kz:
k_x = \frac{2\pi}{L_a}, \qquad k_y =...
I get you; makes sense now! I also see what you mean by the three linear independent vectors as [1; 0; 0], [0; 1; 0], and [0;0;1]. They give away 3 columns of M.
Too bad the system I'm crunching this data through doesn't have that level of direct control, so I need to get as close as possible...
I managed to find a number of the elements by rewriting my Solve[ ] call:
And, as you can see above, I'm left with the first column vector within M, i.e. [m11; m21; m31], left to be determined.
To be honest, I don't understand why I have those 3 elements left to be determined. Using vector...
Hi,
I'm trying to reconstruct the matrix M with Mathematica's Solve[ ]:
The vectors are basically (x, y ,z) and (x' , y' , z') coordinates
And the data behind this mess is here - shown in (x,y,z) row sets - where the "M4" and "IF" would be like A and B in M*A = B. The data looks linearly...
Hi all,
I have this data that can be described by M*A = B, where M is a 3x3 matrix and A and B are 3x1 vectors.
Since I know and can collect A and B data, and I have 9 unknowns in the 3x3 matrix, I thought that collecting 9 pairs of A and B vectors would yield the matrix M's coefficients via 9...
Homework Statement
Write the Radiative Transfer Equation for an isotropic incoherent point source a distance p away from a thin lens. Assume that scattering in air can be ignored but absorption cannot be ignored.
Homework Equations
1. Radiative Transfer Equation (RTE):
\frac{dw}{dt} = \left[...
Hi all,
I came across this figure in a textbook. Simple stuff, but can get tricky:
I don't understand why the sign convention flips upon entering the barrier (region II), but I guess the book is correct and that I should just take it as a fact.
If anybody has a reasonable thought to add...
Hi all,
I'm trying to understand how to calculate the time dependent expectation value of the atomic dipole moment for a superposition state, and I have a good guess to check with you. Say we have
\psi = \frac{1}{\sqrt{2}} \left[ \psi _{100} + \psi _{310} \right]
at t = 0. Then, for t > 0:
\Psi...
Hi,
On (1), thanks for bringing that point up. I guess I should express my solution as
\langle |\mathbf{L}| \rangle = \left\langle \sqrt{ \mathbf{L}^2 }\right\rangle
which is what it seems to be.
On (2), the probabilities are just the modulus squared of the coefficients, which I arbitrarily...
Let me bring an additional question, related to the original post with an added twist. If I were to change the wavefunction to, for example \psi = \frac{1}{\sqrt{2}} \psi_{100} + \frac{1}{\sqrt{2}} \psi_{310} and wanted (1) the expectation value of the total angular momentum and (2) the...