Electron

Independent electron approximation

In condensed matter physics, the independent electron approximation is a simplification used in complex systems, consisting of many electrons, that approximates the electron-electron interaction in crystals as null. It is a requirement for both the free electron model and the nearly-free electron model, where it is used alongside Bloch's theorem. In quantum mechanics, this approximation is often used to simplify a quantum many-body problem into single-particle approximations. While this simplification holds for many systems, electron-electron interactions may be very important for certain properties in materials. For example, the theory covering much of superconductivity is BCS theory, in which the attraction of pairs of electrons to each other, termed "Cooper pairs", is the mechanism behind superconductivity. One major effect of electron-electron interactions is that electrons distribute around the ions so that they screen the ions in the lattice from other electrons. (Wikipedia).

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Technical Aspects of Density Functional Theory View the complete course at: http://ocw.mit.edu/3-320S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

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Recorded 14 March 2023. Vikram Gavini of the University of Michigan presents "DFT 1 - Density functional theory" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematics-for-th

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MagLab Theory Winter School 2019: Kristjan Haule Part 1

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Related pages

Null (mathematics) | Atomic number | Hamiltonian (quantum mechanics) | Bravais lattice | Reciprocal lattice | Density functional theory | Gradient | Free electron model | Elementary charge | Cooper pair