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

[Jack_11]

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

 

[PeroK]

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.