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Quantum Chemistry
Some problems of low-dimensional physics
arXiv
Authors: Yuri Kornyushin
Year
2007
Paper ID
50375
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
Fermi and kinetic energy are usually calculated in periodic boundary conditions model, which is not self-consistent for low-dimensional problems, where particles are confined. Thus for confined particles the potential box model was used self-consistently to calculate Fermi and kinetic energies in 3-, 2-, and 1-dimensional cases. This approach is much more logical and self-consistent. Then the conditions for neglecting dimensions, that is conditions under which the movement of particles in the box could be considered as 2- and 1- dimensional, were derived.
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- This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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- Fermi and kinetic energy are usually calculated in periodic boundary conditions model, which is not self-consistent for low-dimensional problems, where particles are confined.
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