Pauli Matrices
Matrices which arise in Pauli's 
treatment of spin 
in quantum mechanics. They are defined by
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
The Pauli matrices plus the
Identity Matrix I form a complete set, so any matrix A can beexpressed as | (4) |
The associated matrices
 |  |  | (5) |
 | |  | (6) |
 | |  | (7) |
can also be defined. The Pauli spin matrices satisfy the identities
 | (8) |
 | (9) |
 | (10) |
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 211-212, 1985. Goldstein, H. ``The Cayley-Klein Parameters and Related Quantities.'' Classical Mechanics, 2nd ed. Reading, MA: Addison-Wesley, p. 156, 1980.
- Triangle Squaring
- Triangle Tiling
- Triangle Transformation Principle
- Triangular Cupola
- Triangular Dipyramid
- Triangular Graph
- Triangular Hebesphenorotunda
- Triangular Matrix
- Triangular Number
- Triangular Orthobicupola
- Triangular Pyramid
- Triangular Square Number
- Triangular Symmetry Group
- Triangulation
- Triaugmented Dodecahedron
- Triaugmented Hexagonal Prism
- Triaugmented Triangular Prism
- Triaugmented Truncated Dodecahedron
- Triaxial Ellipsoid
- Tribar
- Tribonacci Number
- Tribox
- Trichotomy Law
- Tricolorable
- Tricomi Function