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Quantum mechanical derivation of ohm's law?

  1. Jan 3, 2012 #1
    I'm watching MIT 8.02 electricity and magnetism () and the lecturer says that there is a derivation of ohm's law but it uses quantum mechanics which is outside the scope of the course. Does anybody know of this derivation and can point me to it? I searched around but can't find anything
     
    Last edited by a moderator: Sep 25, 2014
  2. jcsd
  3. Jan 6, 2012 #2

    kith

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  4. Jan 6, 2012 #3
    the basic model for conduction is the drude model. this assumes that electrons behave like billiard balls. this is enough to prove ohms law. the quantum model is the drude-sommerfield model. here electrons behave like waves and scatter off impurity atoms. then there is a more advanced model call nearly free electron model. anyways the quantum theory successfully explains the temperature dependence of resistivity which the classical drude model is not able to . i would say not to bother with derivations, the important thing is to understand how conduction happens from the quantum mechanical perspective.
     
    Last edited by a moderator: Sep 25, 2014
  5. Jan 7, 2012 #4
    So can ohm's law be derived from the nearly free electron model?
     
  6. Jan 8, 2012 #5
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