I hope this is the forum to ask this question.(adsbygoogle = window.adsbygoogle || []).push({});

We all know that the eigenvectors of a Hermitian operator form an orthonormal basis. But is the opposite true as well. Are the vectors of an orthonormal basis always the eigenvectors of some Hermitian operator? Or do we need added restrictions to make it so, such as an inner product and dual spaces being the complex conjugate of the normal space? Thanks.

**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!

# Orthonormal basis and operators

Loading...

Similar Threads for Orthonormal basis operators | Date |
---|---|

I Two orthonormal bases that span the same space | Apr 5, 2017 |

Stat. States, Orthonorm. expansion coefficients etc qn? | Feb 20, 2016 |

Orthonormality contition for radial functions of hydrogen | Dec 29, 2015 |

Orthonormal basis | Sep 4, 2014 |

Basis set orthonormality property | Jan 16, 2009 |

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