What are the energy and momentum eigenfunctions for specific quantum systems?

UrbanXrisis
Messages
1,192
Reaction score
1
just a general and quick question because I'm making a formula sheet for my test tomorrow:

What is the energy eigenfunction for a free particle and what is the momentum eigenfunction for a particle in a box?
 
Physics news on Phys.org
Why are you asking?!? If you're taking a QM class, surely you've covered these things in class and they are in your textbook!

:confused: :confused: :confused: :confused: :confused: :confused: :confused:
 
i skipped QM and went into quantum theory so i never went over this. this isn't talked about in my book. all i need to know is the energy eigenfuction for a free particle please? Oh and momentum eigenvalues for a particle in a box?
 
Last edited:
so I've went there already, and coundt find them, which is why I'm asking on this forum. maybe i just can't spot them out?
 
That's an interesting Q though.

What are the momentum eigenfunctions of a particle in a box? The FT of the waves between the walls must look a bit weird.
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
View full post »

Similar threads

Quantum Mechanics hydrogen atom eigenfunction problem
Replies
1
Views
2K
Eigenfunction of momentum and operators
Replies
14
Views
3K
The Eigenfunction of a 2-electron system
Replies
4
Views
1K
Finding Energy Eigenvalues and Eigenfunctions for a Particle Well
Replies
1
Views
1K
I Completeness of Eigenfunctions of Hermitian Operators
Replies
22
Views
2K
Instantaneous doubling of the Infinite Square Well Width
Replies
1
Views
4K
Eigenfunction of a system of three fermions
Replies
1
Views
2K
Finding eigenfunctions for given Hamiltonian
Replies
11
Views
5K
Formal properties of eigenfunctions
Replies
1
Views
2K
I Representation of Spin 1/2 quantum state
2
Replies
61
Views
5K

Hot Threads

Recent Insights

Back
Top