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Wave Packet Spreading in an Infinite Square Well
As a wave packet spreads in an infinite square well, it moves "back and forth" in a way similar to a classical trajectory.
Contributed by:
Enrique Zeleny
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The solution of the Schrödinger equation (
)
with boundary conditions
is of the form
,
where
is the length of the well and
represents the initial wave packet with mean wavenumber
and variance
.
References
[1] I. Marzoli, F. Saif, I. Bialynicki-Birula, O. M. Friesch, A. E. Kaplan, and W. P. Schleich, "Quantum Carpets Made Simple."
arXiv:quant-ph/9806033.
[2] R. C. O'Connell, "A Foray into Quantum Dynamics."
arXiv:quant-ph/0212092.
RELATED LINKS
Schrödinger Equation
(
ScienceWorld
)
Infinite Square Potential Well
(
ScienceWorld
)
PERMANENT CITATION
Enrique Zeleny
"
Wave Packet Spreading in an Infinite Square Well
"
http://demonstrations.wolfram.com/WavePacketSpreadingInAnInfiniteSquareWell/
Wolfram Demonstrations Project
Published: October 10, 2013
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