What is the one-dimensional linear momentum eigenfunction?
2
Sketch its real part, its imaginary part, and its square
magnitude.
3
What is the three-dimensional linear momentum eigenfunction?
4
What is the coefficient of the eigenfunction called?
5
Normally, the square magnitude of the coefficient should give
the probability of measuring the corresponding linear momentum. Why
is this untrue for position eigenfunctions?
6
So what does the square magnitude of the coefficient give?
7
Write the wave function out fully in terms of the
linear momentum eigenfunctions and their coefficients.