Can the Larmor formula explain the stability of electron rotation?

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Discussion Overview

The discussion revolves around the application of the Larmor formula to understand the stability of electron rotation around a nucleus, particularly in the context of classical mechanics and electromagnetism. Participants explore the implications of energy calculations and radiation losses associated with this phenomenon.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant notes the classical mechanics and electromagnetism suggest that electrons should fall into the nucleus, prompting a question about the duration of this phenomenon.
  • Another participant expresses a desire to compute the magnetic field vector ($$\overrightarrow{B}$$) produced by an electron in rotation, indicating a gap in their understanding.
  • A suggestion is made to pose the question in the Quantum Physics forum for more targeted responses.
  • One participant mentions finding a solution using the Larmor formula but expresses confusion about its applicability to the problem of electron rotation.
  • Another participant advises using the Larmor formula to calculate the acceleration related to the electron's motion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the applicability of the Larmor formula to the stability of electron rotation, and there are multiple competing views regarding the understanding of the underlying physics.

Contextual Notes

There are limitations in the discussion, including assumptions about classical mechanics and electromagnetism, as well as unresolved questions regarding the specifics of the Larmor formula's application to electron dynamics.

Who May Find This Useful

This discussion may be of interest to those studying quantum mechanics, classical electromagnetism, or anyone exploring the theoretical aspects of electron behavior in atomic structures.

MickaelPC
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Hi everyone,

I know that classical mechanics and electromagnetism show that the electron is bound to fall on the nucleus.
I want to estimate the duration of the phenomenon.

I found the classical energy : E=-K/r and I'm able to compute the raying loss thanks to electromagnetism.
But I am still not able to conclude.

Where can I find a paper or a site that explain it ?

Excuse my mistakes I am French.

Thank you !
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Hi Greg,

My question didn't got answers by the time but now it's not very important, it was just a small question I asked myself whil learning quantum mechanics. In fact the real problem I wasn't able to solve is to compute the $$ \overrightarrow{B} $$ ray from an electron rotating around the nucleus. If you have answers to that thank you for sharing.
 
Hmmm. You may want to ask that question in the Quantum Physics forum.
 
MickaelPC said:
Hi Greg,

My question didn't got answers by the time but now it's not very important, it was just a small question I asked myself whil learning quantum mechanics. In fact the real problem I wasn't able to solve is to compute the $$ \overrightarrow{B} $$ ray from an electron rotating around the nucleus. If you have answers to that thank you for sharing.

www.physics.princeton.edu/~mcdonald/examples/orbitdecay.pdf is an OK summary.
 
Use the Larmor formula, and calculate the acceleration.
 
Hi everyone and thank you for your answers. I already found myself a solution to this probleme using the Larmor formula and the real problem is the Larmor formula, I know how to etablish it but I don't understand why it works in the problem of an electron rotating.
 

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