Recent content by physicalchemishard

Just an update. I asked one of the people who wrote the Pset about this question and he said that the other solutions are formed from linear combinations of degenerate states of the harmonic oscillator eigenfunctions. Another solution would be Ψ=ψ2,0,0(x,y,z)+ψ0,2,0(x,y,z)+ψ0,0,2 (x,y,z) since...

the problem statement itself says "what are the three lowest energy stationary states that are eigenfunctions of L2and Lz, with eigenvalues of 0 and 0, respectively?" I thought that implied we needed to find 3 different sets of eigenfunctions of the angular momentum operators with eigenvalues...

Homework Statement Due to the radial symmetry of the Hamiltonian, H=-(ħ2/2m)∇2+k(x^2+y^2+z^2)/2 it should be possible to express stationary solutions to Schrödinger's wave equation as eigenfunctions of the angular momentum operators L2 and Lz, where...