Why Do Electrons Emit EM Waves and Lose Energy in Classical Orbits?

[kntsy]

why according to classical, electron circuling around the nucleus will emit EM wave and lose energy and collapse?

I know electron undergoes circular acceleration, but why emit EM wave?

 

[Rajini]

Hi,
Please read Classical Electrodynamics by Jackson. Or you can see this link:
http://en.wikipedia.org/wiki/Synchrotron_radiation.
See the text under 'emission mechanism'.
hope it helps.

 

[Curl]

can't this be shown using Maxwell's equations?

that might be more helpful to him

 

[Born2bwire]

can't this be shown using Maxwell's equations?

that might be more helpful to him

It isn't a simple task to do so. But the sources provided above, the wikipedia link and Jackson's, do have the derivation from Maxwell's Equations. Suffice to say though one can see from the Lienard-Wiechert potentials or Jefimenko's Equations that an accelerating charge emits an electromagnetic wave. These equations are derived via Maxwell's but the exact process isn't so simple.

 

[jtbell]

This page calculates the radiation loss for a charged particle in a circular accelerator:

http://farside.ph.utexas.edu/teaching/em/lectures/node131.html

Substitute numbers for a classically-orbiting atomic electron and see what you get.

To see the derivation of the formula used, click from that page to the "previous" pages on the Larmor formula and accelerated charges in general.