I'm pretty sure that still does not work. From a quick look at it all that would give is (18-36σ+6σ2). I will discuss this with my teacher tomorrow, time is not permitting me to continue with this issue anymore.
Hi, I am wondering why the associated Laguerre Polynomial for the 3s hydrogen wave function is (27-18σ+2σ2).
My physical chemistry book tells me that the complete hydrogen wave function is given by:
\Psi(r,\theta,\phi)= RnlY^{m}_{l}(\theta,\phi)
and Rnl(r) uses the Laguerre polynomial...
So my mistake was in doing the integral of e^(-y) which yields -e^(-y), wow.. I kept thinking I had made some silly algebra error here haha.. Thank you very much for pointing out my trivial mistake!
Hi I am working on a problem that ends up having the natural log of a negative e which I'm confused on how to find the explicit solution.
The Problem:
Find an explicit solution with C.
y'-e^{-y}cos(x)=0
My Conclusion:
First of all, I'm confused how I should solve this explicitly if I'm...
I thought this was an error, but the solutions manual to my quantum mechanics class AND the handwritten solutions provided by my professor both have this error. Thank you for confirming!
Yeah, I'm assuming this is just a typo unless one of the math genius gets back to me and says otherwise. It's very disturbing though because I spent probably 30-45 minutes earlier today digging through trig stuff to figure out where I was going wrong, since it was printed like this in the...
Good deal, two buddies and I are studying for our physical chemistry, the quantum mechanics portion, quiz that is tomorrow. It's as if our textbook expects us to know a bunch of things without it telling us.
How does this work? I'm very confused about the phi is solved using inverse sin.
knowing: A=(c^{2}_{1}+c^{2}_{2})^{1/2} and c_{2}= Acos(\phi)
solve for \phi
which yields: \phi=sin^{-1}\frac{c_{2}}{(c^{2}_{1}+c^{2}_{2})^{1/2}}=tan^{-1}\frac{c_{2}}{c_{1}}
I'm not sure how we use the inverse...
Wow.. I can't believe I missed that. So is this being done by the reasoning of separation of variables? Correct me if I'm wrong, but we have to separate them because E varies differently than ψ(x)? Thank you very much for pointing out my silly mistake!
Also, this doesn't really apply to...
Yes, under Step 3 where it says "If we then solve for k by comparing with the Schrödinger equation above, we find: k=" what I said in parenthesis. The 8pi^2 value. Where does this come from? I'm not sure how this is derived.
Hi, I am confused about how we obtain a part of the Schrodinger equation for a particle of mass m that is constrained to move freely along a line between 0 and a.
Equation:
\frac{d^{2}ψ}{dx^{2}}+(\frac{8∏^{2}mE}{h^{2}})ψ(x)=0
Where does the value in the parenthesis come from and what...