Chapter I - ATOM

For a moment, let's take a look at the non relativisitic, non quantized forms of the equations and forces surrounding the hydrogen atom (classical):
We will make the assumption that we are looking from a non abelian guage viewpoint.  The electron will make a circular orbit about the nucleus of this hydrogen atom in a planar fashion:

 

me = 9.11 x 10-31 kg

ra = 5.30 x 10-11 m

f = 1013 sec-1
q1 = -1.60 x 10-19 C
q2 = 1.60 x 10-19 C

 

Substituting yields:   

 


So the Coulomb force of attraction between the lone proton - electron pair is
~ 8.20 x 10-8 N .  At such a proximity (5.3 X 10-11m) and with the applied force of attraction, the electron spins around the proton with it's acceleration directed toward the  proton (centripetal) and with a rotational velocity found  with Newton's second law (using classical methods):

Substituting for rotational velocity:

 


 


 

 

Substitution yields:


answer.


As we take a look at the total energy in the system, we find:

 




  
with the nucleus at rest.  Electric potential of a point charge (q) at a distance (r)  is:


 

or:

 

 

 

 

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