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A way to write the wavefunction such that the position operator is:i.e., a function that takes the wavefunction as input, and outputs another function:
If you believe that mathematicians took care of continuous spectrum for us and that everything just works, the most concrete and direct thing that this representation tells us is that:
the probability of finding a particle between and at time
equals:

Ancestors (10)

  1. Position and momentum space
  2. Uncertainty principle
  3. Schrödinger equation
  4. Non-relativistic quantum mechanics
  5. Quantum mechanics
  6. Particle physics
  7. Physics
  8. Natural science
  9. Science
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