Pauli Algebra¶

This module implements Pauli algebra by subclassing Symbol. Only algebraic properties of Pauli matrices are used (we don’t use the Matrix class).

See the documentation to the class Pauli for examples.

References¶

R429: http://en.wikipedia.org/wiki/Pauli_matrices

sympy.physics.paulialgebra.evaluate_pauli_product(arg)[source]¶

Help function to evaluate Pauli matrices product with symbolic objects

Parameters: arg: symbolic expression that contains Paulimatrices

Examples

>>> from sympy.physics.paulialgebra import Pauli, evaluate_pauli_product
>>> from sympy import I
>>> evaluate_pauli_product(I*Pauli(1)*Pauli(2))
-sigma3

>>> from sympy.abc import x,y
>>> evaluate_pauli_product(x**2*Pauli(2)*Pauli(1))
-I*x**2*sigma3