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

[FloridaGators]

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

Homework Equations

http://img199.imageshack.us/img199/484/232ag.jpg

sorry about the insert pictures, i don't know how to type up the eqns easily

The Attempt at a Solution

Now I know that outside the box the Schrödinger 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.

 

[thebigstar25]

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 ..

 

[Matterwave]

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?