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

Hamiltonian Problem (Quantum Mechanics)

  • #1
Hi everyone


I have been give a matrix operator and asked to find the eigen values, I have done so and then I was given a state |ψ> of some particle.

The part I'm struggling with is it then asks for <H>, the expectation value of the matrix operator. It's a 3x3 matrix also.

I've tried using the generalised formula for expectation value but I've only ever used it for simple probability densities

I've looked all over the internet to find an example even a little close and had no joy whatsoever :(

Any ideas or guidance would be much appreciated :)


Regards
 

Answers and Replies

  • #2
2,788
586
Hi
You should give us enough information and also show some attempt.
 
  • #3
ImageUploadedByPhysics Forums1420575853.597092.jpg



Above is the only thing I'm unsure about! Does the hermitian conjugate of the include the constant or not? Other than that I think I've solved the problem?



Thanks
 
  • #4
2,788
586
Yeah, that's right!
 

Related Threads on Hamiltonian Problem (Quantum Mechanics)

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
3K
Replies
3
Views
939
Replies
1
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
14
Views
2K
  • Last Post
Replies
0
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
3
Views
1K
Replies
0
Views
2K
Top