Recent content by chrisa88

  1. C

    Why Does the 3s Hydrogen Wave Function Use the Polynomial (27-18σ+2σ²)?

    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.
  2. C

    Why Does the 3s Hydrogen Wave Function Use the Polynomial (27-18σ+2σ²)?

    No, this is all from the same textbook. Which makes it that much more nerve racking!
  3. C

    Why Does the 3s Hydrogen Wave Function Use the Polynomial (27-18σ+2σ²)?

    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...
  4. C

    Differential Equation Containing Natural Log of Negative e

    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!
  5. C

    Differential Equation Containing Natural Log of Negative e

    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...
  6. C

    Understanding Inverse Trig Functions: Solving for Phi in Cos Using Inverse Sin

    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!
  7. C

    Schrodinger Equation for Constrained Particle

    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...
  8. C

    Schrodinger Equation for Constrained Particle

    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.
  9. C

    Schrodinger Equation for Constrained Particle

    Thank you very much. I did make a post in the math forum.
  10. C

    Understanding Inverse Trig Functions: Solving for Phi in Cos Using Inverse Sin

    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...
  11. C

    Schrodinger Equation for Constrained Particle

    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...
  12. C

    Schrodinger Equation for Constrained Particle

    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.
  13. C

    Schrodinger Equation for Constrained Particle

    Actually, I've looked at that and am still confused... I don't get where that comes from..
  14. C

    Schrodinger Equation for Constrained Particle

    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...
Back
Top