Find the eigenvector with zero eigenvalues at any time t from the Hamiltonian

  • Thread starter Jack_11
  • Start date
  • #1
Jack_11
1
0
Homework Statement:
A Hamiltonian of 3 level system is given by:
Relevant Equations:
H= Acos^2 bt(|1><2|+|2><1|)+Asin^2 bt(|2><3|+|3><2|)

I have been asked to find that H has an eigenvector with zero eigenvalues at any time t, but I don't know where to start
I have a question relates to a 3 levels system. I have the Hamiltonian given by:

H= Acos^2 bt(|1><2|+|2><1|)+Asin^2 bt(|2><3|+|3><2|)

I have been asked to find that H has an eigenvector with zero eigenvalues at any time t
 

Answers and Replies

  • #2
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
23,243
14,754
Homework Statement: A Hamiltonian of 3 level system is given by:
Homework Equations: H= Acos^2 bt(|1><2|+|2><1|)+Asin^2 bt(|2><3|+|3><2|)

I have been asked to find that H has an eigenvector with zero eigenvalues at any time t, but I don't know where to start

I have a question relates to a 3 levels system. I have the Hamiltonian given by:

H= Acos^2 bt(|1><2|+|2><1|)+Asin^2 bt(|2><3|+|3><2|)

I have been asked to find that H has an eigenvector with zero eigenvalues at any time t

You have to make your best attempt. You must know something about eigenvectors and eigenvalues.

We can't help you if you simply know nothing about the material at all.
 

Suggested for: Find the eigenvector with zero eigenvalues at any time t from the Hamiltonian

  • Last Post
Replies
9
Views
365
Replies
2
Views
585
  • Last Post
Replies
17
Views
599
Replies
1
Views
308
Replies
6
Views
559
  • Last Post
Replies
5
Views
224
Replies
1
Views
1K
Replies
3
Views
569
Replies
4
Views
1K
Replies
4
Views
469
Top