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In cylindrical coordinates could Ψ=f(r)exp[-i(Et-pz+Φ/2)] be a valid quantum mechanical wave-function for the right boundary conditions and with the right choice of f(r)?
Thanks!
Thanks!
Judging from the expression of the wavefunction, there can be two possibilities about the condition of the potential along the z-direction:1) The potential is constant along this direction, for which reason ##p## is continuous or 2) there is an infinite square well confining the space along z direction, in this case ##p## must be discrete.In cylindrical coordinates could Ψ=f(r)exp[-i(Et-pz+Φ/2)] be a valid quantum mechanical wave-function for the right boundary conditions and with the right choice of f(r)?
Thanks!
Spin? That was not mentioned in your original post.
Rotation operator due to spin angular momentum can only rotate spin state, it does not act on spatial wavefunction.My function only returns to itself after a 4π rotation and I'm not sure that is acceptable.