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

(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.

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1999-05-26