I have to find it in one dimension. I tried something else and that was to take the integral g(w)dw with limits 0 to the Debye frequency and equate it to = (# of dimensions) times N where N is the number of particles in the lattice. In this case, the integral is equal to 1N.
Anyways I handed in...
Homework Statement
I have a problem on my assignment in which I am required to find the specific heat of a two atom basis (diatomic) using the Debye model. My problem is coming up with the density of states for a diatomic setup in 1D.
Homework Equations
Density of state...
If you have it in your library check out Fourier Series by Tolstov.
For your question you need to know the tricks and play around with it. Here are a few:
\int^{\pi}_{-\pi}cos(nx)ds=\int^{\pi}_{-\pi}sin(nx)dx=0
\int^{\pi}_{-\pi}cos^{2}(nx)ds=\int^{\pi}_{-\pi}sin^{2}(nx)dx=\pi
or sub pi for...
The magnitude of the field does affect the force on the test charge.
F=Eq
The Field is points (diverges/source) from positive charges to negative charges (converges/sink).
The field is repulsive with the positive charge. Attractive with the negative.
The magnitude will be the same, the...
[SIZE="3"]Homework Statement
Determine an expression for the Bohr radius (a_{0} from the following approximation. The electron moves to the nucleus to lower its potential energy,
V(r) = -\frac{e^{2}}{r}
If the electron is in domain 0\leqr\leq\bar{r}, then we may write...
Hi I'm a physics student studying theoretical physics 2, we haven't learned math induction. Is there another way around it?
What about applying the formula
| exp(- sigma t) f(t) | = Mthanks!