Some problems of low-dimensional physics

Details Some problems of low-dimensional physics Some problems of low-dimensional physics

2007-05-08

arxiv.org/abs/0705.1137v5

Facta Universitatis, Series: Physics, Chemistry and Technology Vol. 2, No 3, 2001, pp. 35 - 39

Physics

Condensed Matter

Materials Science

Zero boundary conditions model is applied to calculate Fermi and kinetic energies, and to derive conditions of low-dimensional

Scientific paper

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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