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(h) For a normalised wavefunction, ½(x), that is an eigenfunction of the momentum operator, [px], show by explicit calculation of Apx = √(p²) - (px)² that the x-component of the momentum, px, is sharp. (i) For a particle subject to a time-independent central force in three dimensions, we look for wavefunction solutions of the time-independent Schrödinger equation of the form: (r,0,0) = R(r)Y (0,0) (i) If a particular wavefunction (r, 0, 0) is an eigenfunction of the operator [L²], write down an expression for the eigenvalue that will be returned when the operator [L²] acts on the wavefunction. And, write down an expression for the magnitude of the angular momentum vector, [L]. pressi (ii) The commutator [β, Î₂] is equal to zero. the commutator [΂΂] be non-zero? MIL Why must the commutator [Î₂, Îx] and