Recent content by Jimmy25

Can anyone help me out here?

I'm not seeing how that would help. Then I just get an equation in terms of L+, L- and Ly. Lx=L± minus plus iLy

Homework Statement Show that the expectation value of angular momentum <Lx> is zero Homework Equations L±|l,m⟩ = SQRT(l(l+1)−m(m±1)h|l,m±1⟩ L± = Lx ± iLy The Attempt at a Solution I'm supposed to use ladder operators here to show <Lx> is zero. I start with...

Aha that was what I suspected. With the correction, is there a way to prove that it is equal to one without having to use that Ʃc*(n)c(n) (=1)?

Homework Statement If <∅| is normalized, show that: <∅|∅>=1=<∅|n><n|∅> (where ∅ is a non-eigenfunction wave function composed of Ʃc(n)ψ(n). Homework Equations The Attempt at a Solution I can show that <∅|∅>=Ʃc*(n)c(n) (=1). But the next part of the question asks to use...

I thought that the definition of a linear operator was: A(f+g)=A(f)+A(g) (where A is a linear operator)

My textbook claims that the complex conjugate operator is linear. I can't see how this could be. Could someone give me an example of how it is not linear?

Okay, I think I got that part. But back to my original question. You said: I see how they got to their solution but I'm a bit confused as to why they multiplied by ao. When I integrate the function that has not been multiplied by ao from zero to infinity I get 1. However, when I integrate...

So, the y-axis of the first curve should really be labelled psi/ao-3/2, and the y-axis of the second curve should really be labelled P/ao-3. Correct?

I've been trying to make sense of these curves (attached). Fig 3-4 is the wave function and probability density. Fig 3-5 is the probability distribution. I don't understand what units they are using on the y-axis. The probability density must be in P/ao3. I don't understand what they're...

Okay, now I can see how they got there. However, I still am very confused about the units in all these functions. I suppose the source of my confusion is at the wave function itself. When I plot the wave function for a 1s hydrogen orbital does it have any associated units? What about psi squared?

I still am not seeing why I would have to multiply the y-axis by ao nor do I understand what the form of the numbers on the y-axis take (I have looked at several resources, they all give different descriptions of the y-axis).

I'm trying to plot the radial probability function for a hydrogen atom. I have the function itself (Psi2*4*pi*r2) my problem is that when I plot the function with angstroms on the x-axis, the y-values are larger than they should be (they look about right if I divide them by the bohr radius in...

I'm trying to plot the radial probability function for a hydrogen atom. I have the function itself (Psi2*4*pi*r2) my problem is that when I plot the function with angstroms on the x-axis, the y-values are larger than they should be (they look about right if I divide them by the bohr radius in...

Thank you! I knew it must have been something stupid that I wasn't seeing.