A semiclassical approach to the ground state and density oscillations of quantum dots

1999/10/21 by A. Puente, M. Casas, Llorenç Serra +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Classical mechanics #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Ground state #Magnetic properties of thin films #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Statistical physics #Thomas–Fermi model #cond-mat.mes-hall

paper · pdf · doi:10.1016/s1386-9477(99)00042-9

published as Physica E 8, 387 (2000) · REVTEX, 8 PDF figures, accepted in Physica E

arxiv created 1999/10/21 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A semiclassical Thomas-Fermi method, including a Weizsäcker gradient term, is implemented to describe ground states of two dimensional nanostructures of arbitrary shape. Time dependent density oscillations are addressed in the same spirit using the corresponding semiclassical time-dependent equations. The validity of the approximations is tested, both for ground state and density oscillations, comparing with the available microscopic Kohn-Sham solutions.

Citations

• The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches
• Spin-density-functional theory of circular and elliptical quantum dots
• Spin effects in a confined two-dimensional electron gas: Enhancement of thegfactor, spin-inversion states, and their far-infrared absorption
• Current-density-functional approach to large quantum dots in intense magnetic fields