Pauli Algebra#

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

See the documentation to the class Pauli for examples.

References#

R663: https://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
>>> evaluate_pauli_product(x**2*Pauli(2)*Pauli(1))
-I*x**2*sigma3