Recent content by chrisa88
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Graduate Why Does the 3s Hydrogen Wave Function Use the Polynomial (27-18σ+2σ²)?
Thank you all though!- chrisa88
- Post #6
- Forum: Quantum Physics
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Graduate 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.- chrisa88
- Post #5
- Forum: Quantum Physics
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Graduate 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!- chrisa88
- Post #3
- Forum: Quantum Physics
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Graduate 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...- chrisa88
- Thread
- Function Hydrogen Wave Wave function
- Replies: 7
- Forum: Quantum Physics
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Graduate 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!- chrisa88
- Post #3
- Forum: Differential Equations
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Graduate 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...- chrisa88
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- Differential Differential equation Log Natural Natural log Negative
- Replies: 2
- Forum: Differential Equations
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Undergrad 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!- chrisa88
- Post #3
- Forum: General Math
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Graduate 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...- chrisa88
- Post #13
- Forum: Quantum Physics
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Graduate 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.- chrisa88
- Post #11
- Forum: Quantum Physics
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Graduate Schrodinger Equation for Constrained Particle
Thank you very much. I did make a post in the math forum.- chrisa88
- Post #9
- Forum: Quantum Physics
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Undergrad 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...- chrisa88
- Thread
- Function Inverse Trig
- Replies: 2
- Forum: General Math
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Graduate 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...- chrisa88
- Post #7
- Forum: Quantum Physics
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Graduate 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.- chrisa88
- Post #5
- Forum: Quantum Physics
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Graduate Schrodinger Equation for Constrained Particle
Actually, I've looked at that and am still confused... I don't get where that comes from..- chrisa88
- Post #3
- Forum: Quantum Physics
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Graduate Schrodinger Equation for Constrained Particle
Hi, I am confused about how we obtain a part of the Schrödinger 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...- chrisa88
- Thread
- Particle Schrödinger Schrodinger equation
- Replies: 12
- Forum: Quantum Physics