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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
2
m
E
ψ
(
x
)
(1)
so the solution is:
ψ
(
x
)
=
e
ℏ
2
m
E
i
x
(2)
We notice that the solution has
continuous spectrum
, since any value of
E
can provide a solution.
Ancestors
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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