Subject: Problem with the Derivation of the Radiation Reaction Force

Hello,
I have a question about the derivation of the radiation reaction force.In 
Griffiths Introduction to Electro-dynamics (3rd edition), a standard undergrad 
physics text book,Griffith uses the dumb-bell method to derive the radiation 
reaction force. He splits up an electron into a dumb-bell and has it travel a 
distance L. He assumes that the distance between each bell of the dumb-bell is 
D. In his derivation he says that L<>L, since L is very small.
2. Does quantum mechanics, have built into it, this radiation reaction affect? 
I.e. if we solve Schrodinger's equation for a free electron, will the 
resulting solution have the radiation reaction affect built into it?
Thanks,
Peter Vandeventer

Re: Problem with the Derivation of the Radiation Reaction Force