First adiabatic invariant
From QED
The first adiabatic invariant, μ, is the action integral over a cyclotron frequency . It is usually written:
The action integral is written:
We can define the length as ds = ρdθ, and use the gyro radius :
Over one orbit, if we are adiabatic then B and change much more slowly than the gyro period Ωc. This gives:
This page was recovered in October 2009 from the Plasmagicians page on First_adiabatic_invariant dated 01:25, 19 October 2006.