What's the wave function in coordinate space Ψ(adsbygoogle = window.adsbygoogle || []).push({}); _{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')? I'm really confused.

Thanks in advance!

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# Wavefunction of a particle

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