Recent content by oomphgalore20
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Graduate What are the matrix elements of the angular momentum operator?
Calculating the following matrix elements: 1) <1s l \widehat{}lz l 1s> 2) <2p, m=1 l \hat{}A^{\pm} l 2p, m=0). If I could get an idea of what those mean, where to begin or could get referred to other useful resources, it would be much appreciated.- oomphgalore20
- Post #6
- Forum: Quantum Physics
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Optimizing Energy of Hydrogen Atom with 3D Oscillator Wavefunction
There is no fixed textbook, so I'm not sure what chapter this precedes or follows; we've covered the simple harmonic oscillator in 1D and went into the variational method while covering perturbation theory. I thought the 3D SHO is an extension of the 1D system, but this 'best energy' is...- oomphgalore20
- Post #3
- Forum: Advanced Physics Homework Help
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Optimizing Energy of Hydrogen Atom with 3D Oscillator Wavefunction
Homework Statement Take as a trial wavefunction for the hydrogen atom the 3D oscillator ground state wavefunction ψ(r) = N exp (-br^2 / 2). Calculate the value of b that gives the best energy and calculate this energy. Homework Equations Radial part of ∇^2 = 1/r2 (∂/∂r) (r^2 ∂/∂r)...- oomphgalore20
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- Oscillator
- Replies: 3
- Forum: Advanced Physics Homework Help