Recent content by Xilus1
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Energy of Hydrogen 1s using simplified Schrodinger equation
I have worked through it and managed to convert between the two. I guess I just needed confirmation that they are indeed the same. Thank you so much!- Xilus1
- Post #5
- Forum: Calculus and Beyond Homework Help
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Energy of Hydrogen 1s using simplified Schrodinger equation
My apologies, its not third order. The question gives the laplacian as : $$ \nabla^2 = \frac{\mathrm{d^2} }{\mathrm{d} r^2} + \frac {2}{r} \frac{\mathrm{d} }{\mathrm{d} r} $$- Xilus1
- Post #3
- Forum: Calculus and Beyond Homework Help
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Energy of Hydrogen 1s using simplified Schrodinger equation
Homework Statement [/B] The Hamiltonian and wavefunction for the ground state of the hydrogen atom H(1s1) are given, in atomic units, as ## \hat {H} = - \frac{1}{2} \nabla^2 - \frac {1}{r} ## and ## \phi(1s) = \sqrt {\frac {1}{\pi }} e^{-r} ## . Using the radial portion of the Laplacian in the...- Xilus1
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- Energy Hydrogen Schrödinger Schrodinger equation
- Replies: 4
- Forum: Calculus and Beyond Homework Help