Mathematical Physics

    

The Problem of the "Negative Frequencies" of the Solutions of the D'alembert Equation

Authors: Marcello Colozzo

The appearance of solutions with negative frequency in the D’Alembert wave equation can be removed with a change of variable. The corresponding positive frequencies describe waves propagating from the «future» towards the «past». This argument was developed in the 1940s by the Italian mathematician Luigi Fantappiè in the analysis of the solutions of the D’Alembert equation, but also of the Klein-Gordon equation (quantum particles of spin 0) and the Dirac equation (spin 1/2 particles).

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2024-04-21 21:51:30

Unique-IP document downloads: 147 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus