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by Ciro Santilli (@cirosantilli, 37)

Time-independent Schrödinger equation for a free one dimensional particle

 ... Particle physics Quantum mechanics Non-relativistic quantum mechanics Schrödinger equation Solutions of the Schrodinger equation Schrödinger equation for a free one dimensional particle
 0 By others on same topic  0 Discussions  Updated 2025-05-23  +Created 1970-01-01  See my version
∂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.

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