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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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
system?
Transcribed Image Text:• Based on the one dimensional eigenfunction, which wave function (eigenfunction
the 3D linear momentum operator) would you propose for a three dimension syster
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 qua
system?
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