Recent content by neon.neon

... and eigenstates are? Does that mean I just have to calculate H\varphi_{1} = E_{1}\varphi_{1} and H\varphi_{2} = E_{2}\varphi_{2} ? And what about the time evolving part in the question? But thanks a lot for now, I think I understood the eigenvectors/eigenvalues !

Of course I read about it, but it's hard to "imagine". Is there any "low-mathematical" way of an explanation?

Homework Statement A spin system with only 2 possible states H = (^{E1}_{0} ^{0}_{E2}) with eigenstates \vec{\varphi_{1}} = (^{1}_{0}) and \vec{\varphi_{2}} = (^{0}_{1}) and eigenvalues E1 and E2. Verify this & how do these eigenstates evolve in time? Homework Equations...