Being ϕ(x) = cos(ax) and ψ(x) = exp(ikx): • which one is an eigenfunction of the lineal momentum pˆx operator? Demonstrate it. • Which is the eigenvalue ? • Based on the one dimensional eigenfunction, which wave function (eigenfunction of the 3D linear momentum operator) would you propose for a three dimension system? • Is it possible to determine the 3D linear momentum with full precision? • Is it possible to determine, with full precision, the angular momentum vector on a quantum system?

Being ϕ(x) = cos(ax) and ψ(x) = exp(ikx): • which one is an eigenfunction of the lineal momentum pˆx operator? Demonstrate it. • Which is the eigenvalue ? • Based on the one dimensional eigenfunction, which wave function (eigenfunction of the 3D linear momentum operator) would you propose for a three dimension system? • Is it possible to determine the 3D linear momentum with full precision? • Is it possible to determine, with full precision, the angular momentum vector on a quantum system?

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