- #1
fluidistic
Gold Member
- 3,924
- 261
Homework Statement
An electron enters in a finite rectangular potential well of length 4 angstroms. When the entering electrons have a kinetic energy of 0.7 eV they can travel through the region without having any reflection. Use this information to calculate the depth of the potential well.
Homework Equations
Not sure because I don't know if the kinetic energy of the electron is greater or lesser than the potential well.
I know that inside the well, [itex]\Psi _{II}(x)= C \sin (kx)+ D \cos (kx)[/itex]. I also know the form of the wave function outside the well (thanks to https://www.physicsforums.com/showthread.php?t=540406&page=3) but I don't have the normalization, etc. I tried to search in google, wikipedia and hyperphysics and can't find the whole detailed solution.
I was thinking of calculating the flux of probability (I need the exact wavefunctions, normalized) in order to calculate the coefficient of transmission.
The Attempt at a Solution
I'm confused. I don't know how to tackle the problem, too many unknowns to me.
Any tip is appreciated.