9716
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Spherical Harmonics
Spherical harmonics give the angular part of the solution to Laplace's equation in spherical coordinates. They arise in many practical situations, notably atomic orbitals, particle scattering processes and antenna radiation patterns.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
In physical settings, the degree
is normally called the
orbital quantum number
and the order
the
magnetic quantum number
.
RELATED LINKS
Spherical Harmonic
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Spherical Harmonics
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SphericalHarmonics/
Contributed by:
Stephen Wolfram
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
Spin-Weighted Spherical Harmonics
Satya Mohapatra
Visualizing Atomic Orbitals
Guenther Gsaller
Harmonic Oscillator Eigenfunctions
Michael Trott
Hydrogen Orbitals
Michael Trott
Nodal Surfaces of Degenerate States
Michael Trott
Electric Dipole Potential
Stephen Wolfram
Quantized Solutions of the 1D Schrödinger Equation for a Harmonic Oscillator
Jamie Williams
Wave Functions of Identical Particles
Michael Trott
Bonding and Antibonding Molecular Orbitals
S. M. Blinder
Wigner Function of a Canonical Ensemble of Harmonic Oscillators at a Given Temperature
Samira Bahrami
Related Topics
3D Graphics
Chemistry
College Physics
Electromagnetism
Physical Chemistry
Quantum Mechanics
Quantum Physics
Special Functions
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+