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Uspekhi Fizicheskikh Nauk, 2012, Volume 182, Number 5, Pages 457–494
DOI: https://doi.org/10.3367/UFNr.0182.201205a.0457
(Mi ufn2798)
 

This article is cited in 34 scientific papers (total in 34 papers)

REVIEWS OF TOPICAL PROBLEMS

Semiclassical model of the structure of matter

G. V. Shpatakovskaya

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow
References:
Abstract: The modern semiclassical method developed over the past few decades and used for describing the properties of the electronic subsystems of matter is reviewed, and its application to quantum physics problems is illustrated. The method involves the Thomas–Fermi statistical model and allows an extension by including additive corrections that take the shell structure of the electronic spectrum and other physical effects into account. Applying the method to the study of matter and finite systems allowed the following, inter alia: (1) an analysis of the total electron energy oscillations as a function of the number of particles in a 1D quantum dot; (2) a description of spatial oscillations of the electron density in atoms and atomic clusters; (3) a description of the stepwise temperature dependence of the ionicity and ionization energy in a Boltzmann plasma; (4) an evaluation of free ion ionization potentials; (5) an interpretation and evaluation of the difference in the patterns of oscillations in the mass spectra of metal clusters.
Received: May 27, 2011
Revised: July 15, 2011
Accepted: August 2, 2011
English version:
Physics–Uspekhi, 2012, Volume 55, Issue 5, Pages 429–464
DOI: https://doi.org/10.3367/UFNe.0182.201205a.0457
Bibliographic databases:
Document Type: Article
PACS: 31.15.bt, 36.40.Cg, 52.25.Kn, 64.10.+h, 71.10.-w, 71.15.Mb
Language: Russian
Citation: G. V. Shpatakovskaya, “Semiclassical model of the structure of matter”, UFN, 182:5 (2012), 457–494; Phys. Usp., 55:5 (2012), 429–464
Citation in format AMSBIB
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  • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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