International Journal For Multidisciplinary Research

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The Lindhard Theory of Screening to Study Effective Electron-Electron Interactions

Author(s) Umme Aqsa
Country India
Abstract This research Paper explores the application of the Lindhard theory of screening to study effective electron-electron interactions in various systems. The Lindhard theory, developed by Danish physicist Jens Lindhard , describes the screening of a test charge by a surrounding electron gas. By applying this theory, we can gain insights into the behavior of electrons in different environments and understand how they interact with each other. The Lindhard theory of screening provides a fundamental understanding of electron-electron interactions within a many body electron gas.
This paper explores the theoretical underpinnings of the Lindhard theory, its mathematical formulation, and its implications for effective electron electron interactions in metals. By examining the response of an electron gas to perturbations, the lindhard function is derived, and its impact on screening the coulomb interaction is analyzed. Applications in understanding the electrical and thermal properties of metals, as well as complex phenomena like superconductivity and plasmon excitations, are discussed
Keywords Screening Effect, Perturbations, Fermi-Direc Distribution function, Free Electron Model, Fermi operators, Hartree-Fock Hamiltonian, Bose systems, Ground state energy
Field Physics > Energy
Published In Volume 6, Issue 5, September-October 2024
Published On 2024-09-06
Cite This The Lindhard Theory of Screening to Study Effective Electron-Electron Interactions - Umme Aqsa - IJFMR Volume 6, Issue 5, September-October 2024. DOI 10.36948/ijfmr.2024.v06i05.27163
DOI https://doi.org/10.36948/ijfmr.2024.v06i05.27163
Short DOI https://doi.org/gwfgqb
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