Eigenkets with eigenvalues

greisen

Hey,

A Hamiltonian has 3 eigenkets with three eigenvalues 1, sqrt(2) and sqrt(3) - will the expectation values of observables in general be period functions of time for this system?

I dont know how to procede?

Thnaks in advance

Meir Achuz

To be periodic the three frequencies must be relatively rational.

greisen

sqrt(2) is not a rational number neither is sqrt(3). So when you say relative rational what do you mean?

Thanks in advance

HallsofIvy

That their ratio is a rational number.

greisen

So I thought - so with the eigenvalues posted they will not be periodic!

Thanks for the replies