• Support PF! Buy your school textbooks, materials and every day products Here!

Particle of mass m in a box of length L Quantum Mechanics

  • #1
1. http://img10.imageshack.us/img10/8602/232cw.jpg [Broken]/b][/URL]



Homework Equations


http://img199.imageshack.us/img199/484/232ag.jpg [Broken]

sorry about the insert pictures, i dont know how to type up the eqns easily

The Attempt at a Solution


Now I know that outside the box the schrodinger equation should give 0 right. I'm just not sure how to go about (a) and (b). (c) The expectation value is pretty straightforward in that you just evalutate <psi|omega|psi>/<psi|psi> with the boundaries from 0 to L and we know the denominator here is 1 since it's normalized.
 
Last edited by a moderator:

Answers and Replies

  • #2
286
0
I think for part(a) .. you have to solve the schroedinger`s equation to obtain the energy and you know that the potential inside the box is zero , so go from there ..
 
  • #3
Matterwave
Science Advisor
Gold Member
3,965
326
One fundamental postulate of QM is that if you make an observation, then you collapse the state of the particle into an eigenstate of the observable. Eigenstates of the Hamiltonian (the energy observable) are exactly the solutions to the Schroedinger equation. From this information, can you see what are the possibilities when you measure the energy of the system?
 

Related Threads on Particle of mass m in a box of length L Quantum Mechanics

  • Last Post
Replies
6
Views
4K
Replies
6
Views
2K
Replies
2
Views
2K
Replies
7
Views
3K
Replies
1
Views
2K
Replies
5
Views
2K
Replies
3
Views
1K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
2
Views
1K
Replies
2
Views
3K
Top