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density functional theory
density functional theory

... This thesis provides an introduction to basic, wave-function based many-body quantum mechanics as well as to the theoretical foundations of DFT up to the point where iteratively accessible, density-based equations for both, time-independent and timedependent problems are presented. A major component ...
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... in state n corresponding to the wave function n Now consider a two state system ...
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Electron scattering



Electron scattering occurs when electrons are deviated from their original trajectory. This is due to the electrostatic forces within matter interaction or, if an external magnetic field is present, the electron may be deflected by the Lorentz force. This scattering typically happens with solids such as metals, semiconductors and insulators; and is a limiting factor in integrated circuits and transistors.The application of electron scattering is such that it can be used as a high resolution microscope for hadronic systems, that allows the measurement of the distribution of charges for nucleons and nuclear structure. The scattering of electrons has allowed us to understand that protons and neutrons are made up of the smaller elementary subatomic particles called quarks.Electrons may be scattered through a solid in several ways:Not at all: no electron scattering occurs at all and the beam passes straight through.Single scattering: when an electron is scattered just once.Plural scattering: when electron(s) scatter several times.Multiple scattering: when electron(s) scatter very many times over.The likelihood of an electron scattering and the proliferance of the scattering is a probability function of the specimen thickness to the mean free path.
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