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quantum in physics

(Belloni et al, 2005) Local density Approximation (LDA) Exchange correlation (XC) is the relationship between different electrons and the exchange of energy in the electronic setup of a particular quantum system. Further density functional theory (DFT) is study of an electronic structure when it is at its least excited state called the ground state or the zero-point energy of the system. Electron density is defined as the probability of an electron filling up a miniscule space around any particular point. It is denoted by n(r). (Computational Materials Science Group,1998) Local Density approximation can now be defined as an approximation of the exchange correlation in the Density functional theory or in other words the energy relationship between different electrons in an electronic structure at ground state. This can be found out using a function of the electron density at each spatial point. Further Homogeneous electron gas (HEG) is the interaction of positive atomic nuclei that are uniformly distributed in space with the negatively charged electrons that have a uniform density in the same space. Local Density approximations are thus most accurately derived when functional integrals are made on the HEG approximation. ...Show more

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