10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
The Airy Wave Train
Enrique Zeleny
Wave Packets for Particle in a Box
Andrés Santos
Scattering by a Square-Well Potential
M. Hanson
Energy Spectrum for a Finite Potential Well
Adam Strzebonski
Bohm Trajectories for Quantum Airy Waves in a Time-Dependent Linear Potential
Klaus von Bloh
Time Evolution of Optical Rogue Waves (Rogons) in the Causal Interpretation of Quantum Mechanics
Klaus von Bloh
Solution of a Nonlinear Schrödinger Equation
Enrique Zeleny
Acceleration of Particles in a Wave Obeying the Korteweg-de Vries Equation
Klaus von Bloh
The Superposition Principle in the Causal Interpretation of Quantum Mechanics
Klaus von Bloh
Wave Packet Dynamics
Gerhard Schwaab and Chantal Lorbeer (Ruhr University, Bochum)
Related Topics
Quantum Mechanics
Waves
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+