Recent content by max_jammer

Hello. I have this problem at hand: Homework Statement A quantum mechanical system has a hamilton operator \hat{H} and another, time independent operator \hat{A}_{0}. Construct a time dependent operator \hat{A}(t) so that: <ψ(t)|\hat{A}_{0}|ψ(t)> = <ψ(0)|\hat{A}(t)|ψ(0)> for all states...

Thanks for your replay. I did actually do quite extensive search on the web, but I did not find what I was looking for. Maybe I should explain... The matrix (for the base \chi_{1} and \chi_{2}) of the rotation operator is (according to the book): U_{\phi, \textbf{k}} = cos \phi sin...

Hello all, Homework Statement I’m trying to derive a result from a book on quantum mechanics but I have trouble with bra-ket notation and operators… Let’s say we have a photon moving along the cartesian z-axis. It is polarized and its state is Psi(theta) = cos (theta) x1 + sin(theta) x1...

I did that before and I got expressions for g and h with i as a parameter. (1 equations and 3 unknowns - no surprise there) But I have no idea what i might be. If I were dealing with real numbers I would just set i = 1 and normalize the (g h i) vector, but these are complex numbers and I don't...

Thanks for the replay. I tried to calculate the scalar product but it doesn't work; it all boils down to where I put conjugate. if I put conjugate on g = (~bf - ~ce) h = (~cd - ~af) i = (~ae - ~bd) then the scalar product of this vector and |psi> is zero BUT it is not zero with |psi'>... Or...

Hello. I really need help with this one: Homework Statement I have a 3 dimensional state space H and its subspace H1 which is spanned with |Psi> = a x1 + b x2 + c x3 and |Psi'> = d x1 + e x2 + f x3 Those two "rays" are linearly independent and x1, x2, and x3 is an...