Electron Wavelength in Infinite Potential Well

Smish
Messages
5
Reaction score
0
I'm a little confused about the electron wavelength in an infinite potential well.

It is my understanding that the maximum wavelength that the electron can achieve is 2 times the length of the potential well.

As the eigenvalue increases, does the wavelength change?

I believe that the wavelength will be λ = 2a/n, with a being the length of the infinite potential well and n being the quantum number, but I'm not completely sure.

Any help is appreciated.
 
Physics news on Phys.org
that all looks fine.
 
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

What is the number of confined states in these potential wells?
Replies
3
Views
1K
Average value of the impulse as the parameters vary
Replies
14
Views
2K
Should the Infinite Potential Well Proposal Be Approved?
Replies
1
Views
2K
How Does Quantum Tunneling Affect Electron Confinement in Potential Wells?
Replies
9
Views
3K
Infinite square potential well
Replies
11
Views
2K
Finding the Probability for a Particle in an Infinite Potential Well
Replies
13
Views
2K
Ground state of 3 noninteracting Fermions in an infinite well
Replies
4
Views
4K
Proton Structure: De Broglie Wavelength & Resolution
Replies
5
Views
2K
Quantum Well with Infinite Barriers
Replies
1
Views
3K
Most Probable energy after infinite square well expands
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top