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The Airy Wave Train
Berry and Balazs [1] found a particular wavepacket in terms of an Airy function with the following properties:
1. It does not spread as it evolves in time.
2. It preserves its shape.
3. It accelerates, despite the fact that there are no apparent forces acting.
Contributed by:
Enrique Zeleny
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The solution for the Airy packet is
,
where
is an arbitrary positive constant,
is the mass of the particle, and for simplicity, Planck's constant is taken as
.
References
[1] M. V. Berry and N. L. Balazs, "Nonspreading Wavepackets,"
American Journal of Physics,
47
(3), 1979 pp. 264–267.
doi:10.1145/641876.641879
.
[2] T. Curtright. "Time Dependent Wigner Functions." (Aug 7, 2013)
server.physics.miami.edu/~curtright/TimeDependentWignerFunctions.html
.
RELATED LINKS
Airy Functions
Planck's Constant
(
ScienceWorld
)
Schrödinger Equation
(
ScienceWorld
)
PERMANENT CITATION
Enrique Zeleny
"
The Airy Wave Train
"
http://demonstrations.wolfram.com/TheAiryWaveTrain/
Wolfram Demonstrations Project
Published: August 14, 2013
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