What's the wave function in coordinate space Ψx0(x') of a particle (in 1-D) located at a certain position x0? What about the wave function Φx0(p') in momentum space? Now, consider the totality of these wave functions for different values of x0. Do they form an orthonormal set? The only thing I know is that if I know Ψx0(x'), I can Fourier transform it to Φx0(p')? But what's Ψx0(x')? I'm really confused. Thanks in advance!