11,000+
Interactive Demonstrations Powered by Notebook Technology »
TOPICS
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
One-Slit Diffraction Pattern
The time-dependent Schrödinger equation is solved for a slit of width
, bounded by rigid walls in the region
,
. Various representations of the real part, imaginary part, and absolute values of the diffraction pattern are shown for time
.
Contributed by:
Enrique Zeleny
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
The equations are
,
,
with initial conditions
,
,
and boundary conditions (the slit is gradually opened to be consistent)
,
,
,
,
,
,
,
,
where
and
are equal to 10,
,
is a parameter with an integer value, and
is the time needed to fully open the slit;
,
where
is the de Broglie wavelength. We set
.
References
[1] D. A. Garanin, "Partial Differential Equations." (Nov 13, 2014)
www.lehman.edu/faculty/dgaranin/Mathematical_Physics/Mathematical_physics-13-Partial_differential _equations.pdf
.
[2] M. Beau and T. C. Dorlas, "Three-Dimensional Quantum Slit Diffraction and Diffraction in Time."
arxiv:1310.5614v3
.
RELATED LINKS
Diffraction
(
ScienceWorld
)
Schrödinger Equation
(
ScienceWorld
)
PERMANENT CITATION
Enrique Zeleny
"
One-Slit Diffraction Pattern
"
http://demonstrations.wolfram.com/OneSlitDiffractionPattern/
Wolfram Demonstrations Project
Published: November 17, 2014
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
Causal Interpretation for an Electron Passing through Two Narrow Slits
Klaus von Bloh
Probability Density for an Electron Passing through Two Narrow Slits
Enrique Zeleny
Wave-Particle Duality in the Double-Slit Experiment
S. M. Blinder
Wave Functions of Identical Particles
Michael Trott
The Superposition Principle in the Causal Interpretation of Quantum Mechanics
Klaus von Bloh
Double Slit Diffraction for Particles
Katelyn Rogers
Quantum Revivals
Enrique Zeleny
Soliton Trajectories of the Modified Korteweg-de Vries Equation (mKdV)
Klaus von Bloh
Two-Soliton Collision for the Gross-Pitaevskii Equation in the Causal Interpretation
Klaus von Bloh
Eigenfunctions of the Helmholtz Equation in a Right Triangle
Michael Trott
Related Topics
3D Graphics
Quantum Physics
Waves
Browse all topics