(7) Suppose the Hamiltonian for a particle in three dimensions is given by Ĥ = +V(f). Here, the 2m operator f represents the radial direction relative to the origin of coordinates. In other words, the potential energy exhibits spherical symmetry. Show that the three operators, Ĥ, L„Ľ commute.

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(7) Suppose the Hamiltonian for a particle in three dimensions is given by H = +V(f). Here, the
2m
operator î represents the radial direction relative to the origin of coordinates. In other words, the potential
energy exhibits spherical symmetry. Show that the three operators, H, L.,Ľ commute.
Transcribed Image Text:(7) Suppose the Hamiltonian for a particle in three dimensions is given by H = +V(f). Here, the 2m operator î represents the radial direction relative to the origin of coordinates. In other words, the potential energy exhibits spherical symmetry. Show that the three operators, H, L.,Ľ commute.
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