We know that S (entropy) is additive and satisfies the relation:
\lambdaS(U,V,N)=S(\lambdaU,\lambdaV,\lambdaN)
(S is a homogeneous function of U, V and N)
I need to show that U is a homogeneous function of S, V and N
that is, to show that
\lambdaU(S,V,N)=U(\lambdaS,\lambdaV,\lambdaN)
I...
Hello,
As far as I understand, a transmission line is simply a wave-guide for TEM modes.
If the waves are propagating in the z direction so Hz=Ez=0. How does this fact leads to the conclusion that in any transverse plane (xy plane) the fields are conservative?
Thanks a lot.
Water and glass are considered denser than vacuum for their dielectric coefficient is greater than the dielectric constant of vacuum. The plasma's dielectric constant is
\epsilon0(1-(\omegap/\omega)2)
Does this mean that plasma can be considered less dense than vacuum?...
thanks in advance.
I'm trying to understand the idea behind the Kronig-Penney model, and its relevance to solid state physics. I understand that the model refers to a particle in a periodic potential. Using Bloch's theorem, and regular boundary conditions the following equation is obtained...
you're right, it doesn't converge.
and I just found out that it was all my mistake, it was tanh and not tan... and since tanh is bounded at infinity, tanh(ax)/x definitely approaches zero...
sorry guys.. thanks for your help anyway...:)
well, that's exactly the problem, sin and cos don't approach a certain value at infinity, and 1/x does. But is there a theorem that states that if a function approches zero and another function does not approach any specific value, then the product of both would approach zero? I don't think so...
Hi, I've been trying to solve a problem in quantum physics, and got stuck because of a limit. I guess I'm a little rusty on that and would appreciate any help.
How can I show that the expression tan(ax)/x tends to zero in the limit x---> infinity?
thanks!
OK, so I guess I should just take hbar/\DeltaE as the characteristic time of the system.
But what about the difference between the two systems described abouve at tf?
Thanks(:
Hi olgranpappy,
I copied the question as it is.
It isn't the Capital letter I, it's a lowercase "L" - l, the second quantum number.
I guess that the "system" is a hydrogen atom, though it isn't explicitly stated in the problem.
thanks in advance.
Homework Statement
V= V0 (r) + V1(r,t)
V0 (r) =-e^2/r
V1(r,t) is a small perturbation which is being activated only in the interval 0<t<tf
The system starts in the ground state, where l =0
1. If the change in the potential is very slow, what is the probability of finding the system at
tf...
Homework Statement
A cell diverges into X new cells. Each of them reproduces in the same manner. X is a geometric random variable with success parameter of 0.25.
What is the expectation of the number of great-grandsons a cell have?
2. The attempt at a solution
I thought about using the...
Hi,
Does anybody know where on the web can I find photos of bacteria? I'm searching for co-agulase negative staphylococcus albus and C xerosis.
Thanks a lot.
On the Z=0 plane the charge distribution is of the form
\rhos=\rho0 sin( \alpha x )sin( \beta y )
find the potential everywhere, assuming that \phi(z\rightarrow±\infty)=0
according to the answer, we should look for a potential of the form
A sin( \alpha x )sin( \beta y )f(z)
(due to the...