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.
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...
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)...