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by Ciro Santilli (@cirosantilli, 25)


Time-independent Schrödinger equation for a free one dimensional particle

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∂x2∂2​ψ(x)=−ℏ22mE​ψ(x)
(1)
so the solution is:
ψ(x)=eℏ2mE​ix​
(2)
We notice that the solution has continuous spectrum, since any value of E can provide a solution.

 Ancestors

  1. Schrödinger equation for a free one dimensional particle
  2. Solutions of the Schrodinger equation
  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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