Hi, I need help with some basic fourier transform properties stuff - its fairly simple though I think I am doing something wrong.
So we know from the shifting property
if h(x) has the fourier transform H(f)
then h(x-a) has the fourier transform H(f)ei*2*π*f*a
so I have the function
cos(2πf0x...
I think I see what you are saying. I will give a little more information into what I am trying to do.
The question is:
Consider two normalizable wave functions Ψ1(x, t) and Ψ2(x, t), both of which are solutions
of the time-dependent Schrodinger equation. Assume that the potential function is...
We aren't given any. Some other information which might be helpful though, the wave function is normalized, it is a solution to the time dependent schrodinger equation and the potential function is real. And again it approaches zero as x goes to +- infinity. Is that enough?
Homework Statement
If I have a wave function that goes to infinity can I assume that the derivative also goes to 0 at infinity?
Homework Equations
The Attempt at a Solution
The reason I think it does is because the wavefunction and its derivative must be continuous everywhere...
Homework Statement
Hi, I hope this isn't a silly question. I am looking to find the mean potential energy of a mass on a spring with spring constant k and maximum displacement x0.
Homework Equations
The Attempt at a Solution
I know the maximum energy is 1/2*kx0^2 so would the...
I did some work on c, hopefully someone can give me a reply to this to make sure I am on the right path.
so I said that the solution is similar to the finite potential well. In region A which is between -b and -a the wavefunction is of the form:
\psi = Aexp(kx) + Bexp(-kx) (I know that...
Homework Statement
The question is attached as a picture. Note: if someone would prefer I type it out I can.
Homework Equations
Schrodingers equation
The Attempt at a Solution
PART A
I am pretty sure I got the well right. It looks like a finite well inside an infinite well. I...
Homework Statement
Hi I actually have three questions that I am posting here, help in all of them would be greatly appreciated!
1) Prove that ln(n!) ≈ nln(n)-n+ln(2*pi*n)/2 for large n
2)Supposed you flip 1000 coins, what is the probability of getting exactly 500 heads
3) Show that n! =...
Homework Statement
We have to estimate the ground state energy of an infinite potential well (1d) using an argument based on the heisenberg uncertainty principal. We then are supposed to compare it with the exact value from the eigenvalue equation.
Homework Equations
Below
The...
Homework Statement
Starting from the Planck-Body Law
I_{λ}dλ = \frac{2\pi c^{2}h}{λ^{5}} \frac{1}{e^{hc/(λkT)} - 1}dλ
where λ is the wavelength, c is the speed of light in a vaccuum, T is the temperature, k is Boltzmann’s constant,
and h is Planck’s constant, prove that the total energy...
I mostly understand that. The answer the book gives for I free is = (I*pi*s^2)/(pi*R^2) which makes sense, but I am looking for what definition they used exactly to get that. What equation?