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BetheSalpeter Equation 
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#1
Feb913, 10:47 AM

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Hello, I was wondering if anyone could direct me to a good introduction or examples of how the BetheSalpeter equation is used. I'm currently looking at the large N section of Sidney Coleman's Aspects of symmetry and find his treatment rather impenetrable.
Thanks! 


#2
Feb913, 03:25 PM

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#3
Feb913, 06:13 PM

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#4
Feb1013, 05:55 AM

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BetheSalpeter Equation
The use of bethe salpeter formalism first arose in the work of hyperfine splitting of positronium by karplus and klein paper however the required derivation for it can be found in itzykson and zuber'quantum field theory'.



#5
Feb1013, 06:03 PM

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Thanks, I'm looking at Itzykson and Zuber right now, and it seems helpful so far. I appreciate it :)



#6
Feb1113, 01:37 AM

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#7
Feb1113, 02:39 AM

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I remember that a very good description of the BetheSalpeter equation can be found in
D. Lurie, Particles and Fields. Lurie was using the BS equation in his own research, so it is not a second hand exposition. 


#8
Feb1113, 07:10 AM

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#9
Feb1113, 07:43 AM

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My impression is that the BetheSalpeter Equation is a formulation whose reputation far exceeds its actual usefulness.
I have a copy of BS's "Quantum Mechanics of One and Two Electron Atoms", in which every aspect of atomic wavefunctions and energy levels is exhaustively discussed, and yet the BS Equation hardly gets a mention. As a nonrelativistic approximation they say it "gives results equivalent to the Breit Equation", and "little progress has been made in its application to highly relativistic systems." 


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