Probably, the essence of quantum theory (QT) is principle of uncertainty (HUP).(adsbygoogle = window.adsbygoogle || []).push({});

The essence of QT is also the fact that Fourier transformation of wave function in phase(?) space gives wave function in momentum space. If one wave function is Gaussian (and so both ones) this gives HUP.

Very useful function in quantum mechanics are also Lagrangian and Action principle. Feynman used them in visualization of QED in his book "QED: The Strange Theory of Light and Matter".

But Lagrangian cannot be so easily visualized as Hamiltonian, for instance.

Wharton also find Lagrangian useful in QT:

Indeed, for classical particles and fields, there's a perfect match between the initial data one

uses to constrain the Lagrangian and the amount of classical data one is permitted under the HUP. In Fermat's principle, if you know the initial light ray position, the HUP says you can't know the initial angle.

http://fqxi.org/data/essay-contest-files/Wharton_FQX4.pdf

Above Fourier analysis is used in derivation of HUP. Another aspect in derivation of HUP is use of commutator [x,p_x]. Can Lagrangian be another aspect?

**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!

# Lagrangian visualisation and Uncertainty Principle

Loading...

Similar Threads - Lagrangian visualisation Uncertainty | Date |
---|---|

I QCD Lagrangian | Feb 28, 2018 |

Insights Mathematical Quantum Field Theory - Lagrangians - Comments | Nov 14, 2017 |

I Double sided arrow notation in Dirac Field Lagrangian | Oct 30, 2017 |

A The Lagrangian Density and Equations of Motion | Sep 28, 2017 |

I How to visualise an instanton? | Aug 21, 2016 |

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