Hii,
I was wondering whether there is any correlation between the energy eigenvalues of a single atom (say He) with the electronic band structure of a collection of He atoms.
for example, for He atoms the lowest energy would be the ground state, with 2 electrons. So will the lowest band for a...
for metals the conduction and valence bands overlap. So how do you distinguish between the conduction and valence bands? How do you find out the lower limit of the conduction band and the higher limit of the valence band?
Or is it the case that the highest conduction band in a metal goes from...
I guess even though helium with 5 electrons may not be stable in vacuum or observable, fermi dirac statistics does show that theoretically that is possible
because of the following probability of occupying any eigenstate
f0(E)=1/(1+exp(E/kbT))
while the probability of existence of a...
the energy eigenvalues of helium atom with 1 electron = -4/n^2*E0, where E0 = 13.6eV,
Now this doesn't include electron electron repulsion, so if n increases it just shows that the energy eigenvalue decreases in magnitude but is still <0, which means the system is stable.
If I consider...
http://en.wikipedia.org/wiki/Numerov%27s_method
if I understand correctly you are saying that because the Hamiltonian is uses a certain datum(for the interaction potential), the energy eigenvalues also are determined according to the same datum.
Yes by datum, I was essentially asking what...
Say for example we consider Helium.
It has 2 neutrons and 2 protons. Based on this, and using Schodingers equation we can calculate the energy states of the various orbitals of Helium (using self consistent field approach or by completely solving the Schodingers equation using finite...
@Naty1: I am indeed interested in the flow of particles, not a static electric field. The reason I said an electrostatic field is because I thought if it is possible to concentrate the field locally in the electrostatic case, it would be possible too in cases where there are moving...
Hii all,
thanks a lot for your reply. I know that a sharp pointed needle like structure might be able to produce a high electric field in the surrounding geometry, but as I said earlier, I am thinking of a dimension close to 1 micrometer, so in order to produce a sharp needle, I would have to...
Hii all..
Is it possible to design a lens(using magnetic fields, dielectric media etc) so as to focus an existing electric field on to a localized region on a electrode. I hope the following picture illustrates what I am trying to do.
What I need is a electric field which is considerably...
I guess what you are talking about is something similar to an optical lens. However, if I have to concentrate the electric field, the equations will be completely different. Will an optical lens ever focus an electric field?
Thanks a lot for your reply...I am bit new to electromagnetism...so could you point me to some books or websites where I could find some more information.
When you talk of a source, do you mean a source of electromagnetic waves? and is the ellipsoidal reflective surface similar to that of a...
I have been trying to think of some way to concentrate an electric field, locally on a given electrode. It is possible by using a very sharp tip on the opposite one, but is it possible by any other means such as an external magnetic field or by introducing different materials within the two...
Thanks claude for your answer. It did clear up my doubt. The difference between the mathematical analogy that you showed and my problem is that the equation that I wrote is just a mathematical representation of a physical phenomena. While the Pythagoras equation is a purely mathematical...
let me rephrase my question:
In mathematical terms fardays law states that
Integral(E.dl) over a circuit = -k*d/dt(Integral(B.n.da))
here dl is an infinitesimal length along the circuit, n is the normal to the area of the circuit and da is an infinitesimal cross-section within the...
faraday's law states that if there is a change in the magnetic flux inside a conductor, a potential is induced across the ends. Is the opposite also valid, i.e. if I have a current carrying conductor with a constant potential applied across the ends, will there be a change in the magnetic flux...