embarrassingly it was due to a picture from a random person. Looking at it now it doesn't make sense and i had no data to back it up.
However from sources i think it should be :
single crystalline > polycrystalline > amorphous
(generally)
To be honest i just needed a few sources to understand...
How exactly does that help conduction ?
If the electron wave extends throughout the crystal i don't see how that would help with the transport of electrons.
It is a simple guess, after reading Electronic Properties of Materials, 4th Edition i have found it is due to crystals having electron scattering being more coherent compared to their amorphous counterparts.
However i am still abit confused , since polycrystalline is not a lot more conductive...
Hey guys basically why are copper crystals more conductive then the corresponding amorphous structure?
I know generally that electrical conductivity is reliant on:
σ = (e2 * (vf)2 n τ)/3
My attempt of understanding is that the crystal structures are made up of unit cells which implies every...
For question 2.2:
<Ψ0|p|Ψ0> = ∫Ψ0 -iħ d/dx(Ψ0) =M
Using Integration by parts i get:
M = -Ψ0 iħ d/dx(Ψ0) (assuming hilbert space)
Implying the expectation values for momentum are zero , however i get all the expectation values are zero for x and momentum in both states which makes no sense :(
So the hilbert space in the case of spin-1/2 particles are 2 dimensional. And i am assuming a new hilbert space can be made for every observable. For instance if we have some X property which has 4 base states we can represent particles with X property construct an hilbert space of 4 dimensions...
I don't wish to be pedantic about this but isn't the hilbert space an infinite dimensional vector space? since the number of basis represent the dimension how can 2 = infinity?
But in the solution we represent the generic energy eigen vector as a linear combination of |+,x> and |-,x> spin basis states.
|ψ> = a|+,x> + b|-,x>
|ψ>(HMatrix) = c|ψ> : a,b, c are constants
The first statement implies its made up of |+,x> and |-,x> basis states which implies that its an...
Hey Guys/Gals i understand the general premise of this question and can calculate the solution but i am a bit confused.
I am supposed to represent a generic state as a linear combination of the |-,x> , |+,x> basis vectors. However i don't know why, is the question actually asking for the...
This might sound stupid , but I am wondering how exactly could I describe the momentum eigenfunctions of photons?
EDIT:
to destroy ambiguity, I am searching for a quantum mechanic description of monochromatic light similar to how we represent it classically as:
E-> = a->cos(wt+phi)