1. Jun 14, 2016 #1

   aaaa202

   

   To solve the full many-body electron problem one often uses the approximation that the dynamics of the electron system, is that of N interacting electrons living in a periodic lattice of positive ion cores. What justifies this approximation and does it have a particular name?

    

   aaaa202, Jun 14, 2016
2. 
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3. Jun 15, 2016 #2

   DrDu

   

   Science Advisor

   The approximation is here that the nuclei are assumed to be located at their equilibrium position. This is called the "crude adiabatic approximation". The "adiabatic approximation" (not the crude one) would solve the electronic problem for the momentaneous position of the nuclei.

    

   DrDu, Jun 15, 2016
4. Jun 15, 2016 #3

   aaaa202

   

   okay is it related to the Born-Oppenheimer approximation?

    

   aaaa202, Jun 15, 2016
5. Jun 15, 2016 #4

   DrDu

   

   Science Advisor

   Basically yes. This is discussed in the book by huang and born dynamical theory of crystal lattices which is also online

    

   DrDu, Jun 15, 2016

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