Re: Nobel Prize for David Thomson?!

From: Bilge (dubious_at_radioactivex.lebesque-al.net)
Date: 01/13/05


Date: Thu, 13 Jan 2005 06:30:50 GMT


 Eugene Stefanovich:
>Bjoern Feuerbacher wrote:

>> Ever heard of binding energy?
>
>That's my point. The mass of a bound state of two interacting
>particles is not equal to the sum of masses of components.
>Why spin is different?

  Does the mass of an electron change because it's bound in a hydrogen
atom? How about the proton mass? Perhaps the binding energy is a
phenomenological quantity required by a non-relativistic theory
and you've left out one of the particles involved, namely the photon(s)
emitted when the electron is ``captured'' by the proton. Binding
energy is frame-dependent, non-relativistic phenomemology.

  The reason for the existence of field theory is that you cannot
couple potential energies to particles in a relativistic theory.
You have to couple particles to fields.

>Is there a law forcing the total spin of the system of two INTERACTING
>particles to be the vector sum of the spins of constituents?
 
  You are confusing phenomenological potentials with fundamental
interactions. The electromagnetic interaction is j.A. There is
no other coupling. All of the rest that appears in a non-relativistic
treatment is due to the non-relativistic treatment.

>>> Why spin is different? There is no any sacred principle saying
>>> that the spins of two interacting particles must simply add together.
>>
>>
>> Yes, there is. It's called "conservation of angular momentum".
>> Ever heard of that?
>
>I heard about the "conservation of total angular momentum".
>I haven't heard about "conservation of spin".

  J = L + S => J^2 = L^2 + S^2 + 2L.S



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