I browsed a book by Byron & Fuller "Math. Physics" and read the following:(adsbygoogle = window.adsbygoogle || []).push({});

Algebra, Geometry & Analysis are joined when functions are treated as vectors in a vector space. This makes Hilbert spaces extremely useful in QM.(paraphrased but that's the jist of it)

Comments on this?

If it's true than I am interested in studying Hilbert spaces to better understand QM. When I took QM my teacher was asked "What good is this stuff on Hilbert Spaces?". His reply was that every space & every function used in QM is a Hilbert Space so don't worry about it - it's of no consequence at all.

**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!

# Hilbert Spaces & QM

Loading...

Similar Threads - Hilbert Spaces | Date |
---|---|

I Do we need a reference frame in Quantum Hilbert space? | Feb 18, 2018 |

I Hilbert Space Bases | Jan 24, 2018 |

I Paper on Hilbert spaces in QM | Jan 11, 2018 |

I Hilbert space and conjugate of a wave function | Dec 21, 2017 |

A Transformation of position operator under rotations | Nov 27, 2017 |

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