We know how to find S[itex]_{x}[/itex] and S[itex]_{y}[/itex] if we used S[itex]_{+}[/itex] and S[itex]_{-}[/itex], and after finding S[itex]_{x}[/itex] and S[itex]_{y}[/itex], we can prove that(adsbygoogle = window.adsbygoogle || []).push({});

[S[itex]_{x}[/itex], S[itex]_{y}[/itex]]= i[itex]\hbar[/itex]S[itex]_{z}[/itex] (Equation 1)

and

[S[itex]_{y}[/itex], S[itex]_{z}[/itex]]= i[itex]\hbar[/itex]S[itex]_{x}[/itex] (Equation 2)

and

[S[itex]_{z}[/itex], S[itex]_{x}[/itex]]= i[itex]\hbar[/itex]S[itex]_{y}[/itex] (Equation 3)

but can we, starting from Equations 1, 2, and 3 find Sx and Sy? Can we work in the opposite direction?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Commutation relation to find Sx, Sy

Loading...

Similar Threads - Commutation relation find | Date |
---|---|

Commutation relation | Jan 18, 2018 |

I Complex scalar field commutation relations | Aug 9, 2017 |

I Angular momentum operator commutation relation | May 10, 2017 |

A Maxwell field commutation relations | Nov 2, 2016 |

A Complex scalar field - commutation relations | Sep 18, 2016 |

**Physics Forums - The Fusion of Science and Community**