Quick Quantum Question

  • Thread starter bon
  • Start date
  • #1
bon
559
0

Homework Statement



Please see attached question


Homework Equations





The Attempt at a Solution



So i tried to work out Xjk by pre and post multiplying by energy eigenstates <j| and |k>

Then i simplified the expression using A|k> = root k |k-1> and A+ |k> = root (k+1) |k+1>

giving a final answer of Xjk = L(root k delta j, k-1 + root (k+1) delta j, k+1)

where delta is the kronocker delta. My problem is that all of the entries in my matrix seem to be too big by 1.

So for X_21 i get root 2 instead of root 1 etc..

what's gone wrong?

Thanks
 

Attachments

  • Quantum question.pdf
    132.8 KB · Views: 141

Answers and Replies

  • #2
bon
559
0
any ideas? is my notation clear?
 

Related Threads on Quick Quantum Question

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
Replies
14
Views
2K
Replies
2
Views
588
Replies
2
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
4
Views
1K
Top