- #1

fluidistic

Gold Member

- 3,655

- 101

## 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.