Matrix element in problem with hydrogen atom

  • I
  • Thread starter Salmone
  • Start date
  • #1
Salmone
98
13
I have a problem in calculate a matrix element in a problem with hydrogen atom.

I have an hydrogen atom and Hamiltonian eigenstates ##|n,l,m>## where ##n## are energy quantum numbers, ##l## are ##L^2## quantum numbers and ##m## are ##L_z## quantum numbers, I have to calculate the matrix element ##<210|rsin(\theta)cos(\phi)|100>## with ##\theta \in [0,\pi]##, ##\phi \in [0,2\pi]##, ##r \in [0,+\infty]## and the result I get is ##\frac{4\pi}{27 \sqrt{2}}##, is it right?
 

Answers and Replies

  • #3
Salmone
98
13
Yes you are right, I must have gotten the angles mixed up and didn't realize it.
 

Suggested for: Matrix element in problem with hydrogen atom

Replies
4
Views
199
Replies
11
Views
454
  • Last Post
Replies
0
Views
404
Replies
22
Views
661
Replies
18
Views
672
Replies
9
Views
991
Replies
2
Views
381
  • Last Post
Replies
17
Views
799
Replies
4
Views
520
Top