Recent content by adh2
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Normalization problem; volume element to use?
Hi Tim! :) That's from \int cos^2 \theta = \frac{1}{2} \left(\theta + sin \theta cos \theta\right) ? U-substitution. My calculus-skills are somewhat rusty, so that didn't seem like a possibility. But of course you're right! \int_a^b f\left(g\left(x\right)\right)g'\left(x\right) dx =...- adh2
- Post #8
- Forum: Introductory Physics Homework Help
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Normalization problem; volume element to use?
Thank you, that makes more sense! I just assumed there was a standard. In my calculus textbook by R A Adams the integration element used is with sin phi. But indeed, a closer look in my physical chemistry book (Atkin's Physical Chemistry) and I see he uses sin theta! :D I also thought the...- adh2
- Post #6
- Forum: Introductory Physics Homework Help
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Normalization problem; volume element to use?
Hello! Homework Statement I'm revising my quantum mechanics course, but I don't get this normalizing-problem. \psi = N r cos \theta e^{-r/a_0} To begin with, this is how my teacher solves it in the solutions manual: 1=N^2\int_0^\infty r^2 e^{-r/a_0} r^2 dr \int_0^{\pi} \int_0^{2 \pi}...- adh2
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- Element Normalization Volume volume element
- Replies: 7
- Forum: Introductory Physics Homework Help
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Conversion of hydrogen atom wave function that I don't understand
Yes! That's it. Many thanks Tiny-Tim! :smile:- adh2
- Post #3
- Forum: Introductory Physics Homework Help
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Conversion of hydrogen atom wave function that I don't understand
Hello! I'm preparing for my quantum mechanics test. In the solutions of an old test I find this conversion, that I don't understand. \Psi = Nze^{-r/2a_0} = Nre^{-r/2a_0}cos\Theta N is the normalization constant, which is to be calculated. I would have guessed that z is the atomic...- adh2
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- Atom Function Hydrogen Hydrogen atom Wave Wave function
- Replies: 2
- Forum: Introductory Physics Homework Help