Recent content by brooke1525

Can anybody give me a clue here? I'm preparing for a test tomorrow, so I'd really, really appreciate the help!

UPDATE: For c) Can I just find the matrix for A and take its transpose and the complex conjugate of each element to get the matrix of the Hermitian conjugate of A? If the transpose is the same as the original, then I know A is Hermitian.

URGENT: QM Series Representation of Bras, Dirac Brackets Homework Statement Suppose the kets |n> form a complete orthonormal set. Let |s> and |s'> be two arbitrary kets, with representation |s> = \sum c_n|n> |s'> = \sum c'_n|n> Let A be the operator A = |s'><s| a) Give the...

Why is there only one value of l in my case? I'm assuming I need to use some separation of variables in order to put the wave function in the appropriate form? I think I'm having a hard time seeing what I'm supposed to do with that wave function that was given to me. And that "t" is throwing...

Homework Statement The scale transformation is a continuous transformation which acts on a function f(x) according to D_{s}f(x) = f(sx) where s is a real number. There is a continuous family of such transformations, including the identity transformation corresponding to s = 1...

So the probability L_z will give m=1 comes from: <Psi | L_z | Psi> = m Then, the probability of getting 1 is 1^2=1? Likewise, the probability of getting 0 is 0? I'm pretty sure I'm wrong here, can someone please correct me?

What is the proper eigenvalue equation to use?

Ohhh, okay. Thanks so much for all your help, I think things are becoming much clearer!

What is the physical interpretation of <quantum numbers "a" | quantum numbers "b">? Is it the probability that a system in the "b" state will simultaneously be in the "a" state?

Just 0?

That's what my question was about. I don't understand what it means to have <l_a, m_a | l_b, m_b>. If they were the same l's and m's, it should be 1, yes? But otherwise, I'm lost...

When I'm evaluating the ladder operators for the state |l,m>, how do I deal with the fact that the corresponding eigenvalue is for |l,m+-1>?

Homework Statement A system's wave function has the form \psi(r, \theta, \phi) = f(t, \theta)cos\phi With what probability will measurement of L_z yield the value m = 1? Homework Equations L_z|\ell, m> = m|\ell, m> The Attempt at a Solution I feel like there may be a typo...

Homework Statement I'm given the eigenvalue equations L^{2}|\ell,m> = h^2\ell(\ell + 1)|\ell,m> L_z|\ell,m> = m|\ell L_{\stackrel{+}{-}}|\ell,m> = h\sqrt{(\ell \stackrel{-}{+} m)(\ell \stackrel{+}{-} m + 1)}|\ell, m \stackrel{+}{-} 1> Compute <L_{x}>. Homework Equations Know...

I seem to be having a rather difficult time understand all the details of the notation used in this quantum material. If I'm given the eigenvalue equations for L^{2} and L_z and L_{\stackrel{+}{-}} for the state |\ell,m>, how do I compute <L_{x}> using bra-ket formalism? I know that L_x =...