The algebraic formulation of quantum mechanics (and related stuff, like quantum thermodynamics & dynamical systems etc.) via C*-algebras provides a viewpoint based mostly on abstract functional analysis. However, I've yet to see a working application of this approach, i.e. an example of a problem which is difficult to solve or even to formulate in the standard formalism, while considerably easier to tackle with all this algebraic stuff. Any ideas? Without such concrete examples the whole field seems to be interesting mathematically, perhaps, but lacking any substance.(adsbygoogle = window.adsbygoogle || []).push({});

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

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

# What's algebraic approach to QM good for?

Loading...

Similar Threads - What's algebraic approach | Date |
---|---|

B If electrons are waves, what causes them to change direction? | Mar 12, 2018 |

What is Leakage in terms of quantum computing? | Feb 26, 2018 |

B What happens to things that aren't ever observed? | Feb 25, 2018 |

A What's the idea behind propagators | Feb 25, 2018 |

I What's the geometric interpretation of the trace of a matrix | Sep 3, 2016 |

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