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What is Angular Momentum in Classical Mechanics about?

This document discusses angular momentum and rotations in classical mechanics. It begins by introducing the orthogonal group O(n) and rotation group SO(n). It then shows that [1] if a matrix A is skew-adjoint, the exponential of A lies in the rotation group for all real values, and [2] a continuous curve in O(n) cannot change components. The document defines the Lie algebra so(n) of skew-adjoint matrices and the phase space R2n. It poses homework problems asking the reader to [2] show a given flow φ is a fl

Author

plfratar

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EN