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by
Ciro Santilli
(@cirosantilli,
25
)
Time-independent Schrödinger equation for a free one dimensional particle
$∂x_{2}∂_{2} ψ(x)=−ℏ_{2}2mE ψ(x)$
(1)
so the solution is:
$ψ(x)=e_{ℏ2mEix}$
(2)
We notice that the solution has
continuous spectrum
, since any value of
$E$
can provide a solution.
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Schrödinger equation for a free one dimensional particle
Solutions of the Schrodinger equation
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
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Schrödinger equation for a free one dimensional particle
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