
#1
Apr2612, 11:20 AM

P: 2

Can anyone tell me the value of cyclotron frequency with full mathematical proof and explanation?




#2
Apr2612, 11:47 AM

Sci Advisor
PF Gold
P: 1,721

Honestly, the Wikipedia article does a satisfactory job of doing so.
http://en.wikipedia.org/wiki/Cyclotron_resonance 



#3
Apr2612, 01:49 PM

P: 4,664

Two things the above formula for proton cyclotron resonance misses:
1) At higher proton energies, the mass in the denominator of the equation becomes relativistic, causing the resonance frequency to drop. 2) For vertical orbit stability, the vertical B field B_{z}(r) must decrease as a function of r (radius) of orbit. 


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