An Introductory Path to Quantum Theory pp 133-148 | Cite as

# The Rotation Group *SO*(3)

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## Abstract

We are now going to see how the geometry of physical space is related to its rotations. This allows us to understand angular momentum as a topic in geometry. This is part of a larger program of understanding various physics theories in terms of geometry, including spin in Chapter 14. Often this is achieved by finding a Lie group of symmetries associated with the theory. In this chapter we study the geometry and linear algebra of the Lie group *SO*(3) and how that is related to angular momentum. Familiarity with matrices (especially matrix multiplication, determinants, and traces) is assumed.

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