Solving the Wave Function: Find Ea, q, and Time?

squaric
Messages
4
Reaction score
0

Homework Statement



http://img29.imageshack.us/img29/5236/phst.jpg

Homework Equations



http://img25.imageshack.us/img25/8815/11203939.jpg

I need to find the equation for the question.

The Attempt at a Solution



a)

A bunch of waves/wave functions, that have phases/amplitudes that interfere constructively.

b)

|Y(x,t)|Squared = Co(/)0 + C1(/)1 Squared ?

c)

No idea

d)
i)

A graph that slopes down, (qe) to then up to a peak, (Difference between each point is Ea) then finally back down to q.
ii)

Down then up then to a straight like across.
I'd also like to know how to work out the time taken to travel to an adjacent potential well assuming Y(x,t=0) = Co(/)0 + C1(/)1
I think (/)0 and (/)1 are the lowest eigenstates and C0 and C1 are just coefficients.

(I think the original thread was posted in the wrong section!)
 
Last edited by a moderator:
Physics news on Phys.org


The complete solution was deleted (it's not allowed). So if you didn't see it:

(a) ------------------------------

The waves must interfer constructively only over a region.

(b) ------------------------------

You have forgotten some time-dependent terms.

(c) ------------------------------

The correct solution of (b) contains a periodic time function. It's period is the answer
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
Back
Top