Properties of a finite fully spinpolarized free homogeneous onedimensional electron gas
Abstract
The homogeneous electron gas model has been quite successful to predict the bulk properties of systems of electrons at various densities. In many occasions, a simplified free homogeneous electron gas model represents a powerful first approximation to a real system. Despite our considerable knowledge on the bulk properties of a homogeneous electron gas, advances in nanoscience and nanotechnology call for a greater effort to understand the opposite limit of small finite systems of electrons with sizedependent properties. In this work, we provide a detailed description of the properties of a finite fully spinpolarized (spinless) free homogeneous onedimensional electron gas, the simplest of the free homogeneous electron gases. We derive exact analytical results for various quantities such as the oneparticle density function, twoparticle density function, oneparticle density matrix, pair correlation function and energy of finite systems with an arbitrary number of electrons. The results obtained provide a detailed view on how various quantities corresponding to a finite system approach their bulk (thermodynamic limit) value.
 Authors:
 Department of Physics, Prairie View A and M University, Prairie View, Texas 77446 (United States)
 Publication Date:
 OSTI Identifier:
 22454438
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 1; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE; 77 NANOSCIENCE AND NANOTECHNOLOGY; DENSITY; DENSITY MATRIX; ELECTRON GAS; ELECTRONS; NANOSTRUCTURES; NANOTECHNOLOGY; PARTICLES; SPIN ORIENTATION
Citation Formats
Ciftja, Orion. Properties of a finite fully spinpolarized free homogeneous onedimensional electron gas. United States: N. p., 2015.
Web. doi:10.1063/1.4907104.
Ciftja, Orion. Properties of a finite fully spinpolarized free homogeneous onedimensional electron gas. United States. doi:10.1063/1.4907104.
Ciftja, Orion. 2015.
"Properties of a finite fully spinpolarized free homogeneous onedimensional electron gas". United States.
doi:10.1063/1.4907104.
@article{osti_22454438,
title = {Properties of a finite fully spinpolarized free homogeneous onedimensional electron gas},
author = {Ciftja, Orion},
abstractNote = {The homogeneous electron gas model has been quite successful to predict the bulk properties of systems of electrons at various densities. In many occasions, a simplified free homogeneous electron gas model represents a powerful first approximation to a real system. Despite our considerable knowledge on the bulk properties of a homogeneous electron gas, advances in nanoscience and nanotechnology call for a greater effort to understand the opposite limit of small finite systems of electrons with sizedependent properties. In this work, we provide a detailed description of the properties of a finite fully spinpolarized (spinless) free homogeneous onedimensional electron gas, the simplest of the free homogeneous electron gases. We derive exact analytical results for various quantities such as the oneparticle density function, twoparticle density function, oneparticle density matrix, pair correlation function and energy of finite systems with an arbitrary number of electrons. The results obtained provide a detailed view on how various quantities corresponding to a finite system approach their bulk (thermodynamic limit) value.},
doi = {10.1063/1.4907104},
journal = {AIP Advances},
number = 1,
volume = 5,
place = {United States},
year = 2015,
month = 1
}

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