PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 2:

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Presentation transcript:

PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 2: Reading: Chapter 1 (especially 1.11) in JDJ; Ewald summation methods Motivation Expression to evaluate the electrostatic energy of an extended periodic system Examples 1/16/2019 PHY 712 Spring 2019 -- Lecture 2

1/16/2019 PHY 712 Spring 2019 -- Lecture 2

1/16/2019 PHY 712 Spring 2019 -- Lecture 2

Ewald summation methods -- motivation 1/16/2019 PHY 712 Spring 2019 -- Lecture 2

Evaluation of the electrostatic energy for N point charges: Ewald summation methods – exact results for periodic systems See lecture notes for details. 1/16/2019 PHY 712 Spring 2019 -- Lecture 2

Comment on electrostatic energy evaluation -- Slight digression: Comment on electrostatic energy evaluation -- When the discrete charge distribution becomes a continuous charge density: the electrostatic energy becomes Notice, in this case, it is not possible to exclude the ``self-interaction''. Previous expression can be rewritten in terms of the electrostatic potential or field: 1/16/2019 PHY 712 Spring 2019 -- Lecture 2