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Symmetry Operations

Abstract mathematical equations that serve to define elementary quantum particles by how they transform or remain invariant when they are rotated about an axis in space [with space defined as a 3-dimensional lattice of points joined by lines]. The role of symmetry operations for describing the properties of quantum particles is central to modern physics.

The abstract mathematical symmetries which describe the laws of nature are present in elementary particles - electrons, protons and neutrons. Conversely, the fundamental particles can be described completely in terms of their symmetrical properties.

Symmetry Operations include:

• Translation in space
• Translation in time
• Rotation through a fixed angle
• Uniform velocity in a straight line (Lorentz)
• Reversal of time
• Reflection of space
• Interchange of identical atoms or particles
• Quantum-mechanical phase
• Matter-antimatter charge

Web Resources On Symmetry Operations

Wikipedia; Symmetry in Physics
Groups and Symmetry
The Geometry Junkyard: Symmetry and Group Theory

Book Resources On Symmetry Operations

Perfect Symmetry by Heinz R. Pagels
Six Not-So-Easy Pieces by Richard P. Feynman

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