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by
Ciro Santilli
(
@cirosantilli,
32
)
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
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Updated
2024-09-19
Created
1970-01-01
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$∂x_{2}∂_{2} ψ(x)=−ℏ_{2}2mE ψ(x)$
(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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(10)
Schrödinger equation for a free one dimensional particle
Solutions of the Schrodinger equation
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
Particle physics
Physics
Natural science
Science
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Schrödinger equation for a free one dimensional particle
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