5.4.1 The position eigenfunction

1

What is the one-dimensional position eigenfunction called?

2

Sketch it.

3

What is the three-dimensional position eigenfunction?

4

What is the coefficient of the eigenfunction for a given wave function $\Psi$?

5

Normally, the square magnitude of the coefficient should give the probability of measuring the corresponding position. Why is this untrue for position eigenfunctions?

6

So what does the square magnitude of the coefficient give?