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.
THINGS TO TRY
Rotate and Zoom in 3D
In physical settings, the degree
is normally called the
orbital quantum number
and the order
magnetic quantum number
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Spin-Weighted Spherical Harmonics
Visualizing Atomic Orbitals
Harmonic Oscillator Eigenfunctions
Nodal Surfaces of Degenerate States
Electric Dipole Potential
Quantized Solutions of the 1D Schrödinger Equation for a Harmonic Oscillator
Wave Functions of Identical Particles
Harmonic Oscillator in a Half-space with a Moving Wall
Wigner Function of a Canonical Ensemble of Harmonic Oscillators at a Given Temperature
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2015 Wolfram Demonstrations Project & Contributors |
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