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What's the wave function in coordinate space Ψ

_{x0}(x') of a particle (in 1-D) located at a certain position x

_{0}? What about the wave function Φ

_{x0}(p') in momentum space? Now, consider the totality of these wave functions for different values of x

_{0}. Do they form an orthonormal set?

The only thing I know is that if I know Ψ

_{x0}(x'), I can Fourier transform it to Φ

_{x0}(p')? But what's Ψ

_{x0}(x')?

Thanks in advance!