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Introduction
Lie Groups and Quantum Mechanics
Michael Weiss
Introduction
A Rough Road-map.
Lie Groups
Lie Algebras
The Adjoint Representation.
Unitary Matrices:
.
Picturing the correspondences.
Topology.
Quantum Mechanics: Two-state Systems
Quantum states.
Hermitian observables.
Unitary evolution operators.
Loose Ends
The Lie bracket.
Special relativity, spinors, and the Dirac equation.
Spin and Statistics.
John Baez 2001-01-04