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by Ciro Santilli (@cirosantilli, 37)

Position representation

 ... Particle physics Quantum mechanics Non-relativistic quantum mechanics Schrödinger equation Uncertainty principle Position and momentum space
Updated 2025-07-16  0 By others on same topic  0 Discussions  See my version
A way to write the wavefunction ψ(x) such that the position operator is:
x
(1)
i.e., a function that takes the wavefunction as input, and outputs another function:
xψ(x)
(2)
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 x0​ and x1​ at time t
equals:
∫x0​x1​​xψx,tdx
(3)

 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
  10.  Home

 Incoming links (2)

  • Momentum operator
  • Wave function

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