Is there a theorem that says that for linear operators a and b on some vector space, if(adsbygoogle = window.adsbygoogle || []).push({});

[tex] [b , b^\dagger] = [a, a^\dagger] = 1 [/tex],

where [A, B] denotes the commutator AB-BA, then there exists a unitary operator U such that

[tex] b = UaU^\dagger [/tex]

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

Dismiss Notice

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!

# Is this a theorem?

Loading...

Similar Threads for theorem | Date |
---|---|

I Noetherian Modules ... Cohn Theorem 2.2 ... ... | Mar 28, 2018 |

I Correspondence Theorem for Groups ... Another Question ... | Mar 24, 2018 |

I Correspondence Theorem for Groups ... Rotman, Propn 1.82 ... | Mar 23, 2018 |

I Third Isomorphism Theorem for Rings ... Bland Theorem 3.3.16 | Mar 19, 2018 |

I Second Isomorphism Theorem for Rings ... Bland Theorem 3.3.1 | Mar 19, 2018 |

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