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[QUE/QM-10013]

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  1. What tells you that $|\langle x|\psi\rangle|^2$ gives the probability for position?
  2. A particle has definite momentum $p_0$, what is the differential equation satisfied by its coordinate space wave function? WHY ?
  3. A particle has definite position $x_0$, what is the differential equation satisfied by its momentum space wave function? WHY ?
  4. Outline the sequence of steps showing that the coordinate and momentum wave functions should be Fourier transforms of each other.

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