Semiclassical model of the structure of matter

Shpatakovskaya, G. V.

doi:10.3367/ufnr.0182.201205a.0457

Cited by 6 publications

(2 citation statements)

References 94 publications

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“…For shell corrections E' sh primary role of shell effects reduces to a shift of the chemical potential E' [8], where v = n r + 1/2, λ = l + 1/2. Software implementation of this modified Thomas-Fermi theory and calculations (for example, rare gas atoms, Table 1 and Table 2) taking into account quantum, exchange and correlation corrections showed that the this Table 2.…”

Section: Results and Conclusionmentioning

confidence: 99%

Modern Ab-Initio Calculations on Modified Tomas-Fermi-Dirac Theory

Seriy¹

2015

OJMSi

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Thomas-Fermi theory is an approximate method, which is widely used to describe the properties of matter at various hierarchical levels (atomic nucleus, atom, molecule, solid, etc.). Special development is achieved using Thomas-Fermi theory to the theory of extreme states of matter appearing under high pressures, high temperatures or strong external fields. Relevant sections of physics and related sciences (astrophysics, quantum chemistry, a number of applied sciences) determine the scope of Thomas-Fermi theory. Popularity Thomas-Fermi theory is related to its relative simplicity, clarity and versatility. The latter means that the result of the calculation by Thomas-Fermi theory applies immediately to all chemical elements: the transition from element to element is as simple scale transformation. These features make it to be a highly convenient tool for qualitative and, in many cases, and quantitative analysis.

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Section: Results and Conclusionmentioning

confidence: 99%

Modern Ab-Initio Calculations on Modified Tomas-Fermi-Dirac Theory

Seriy¹

2015

OJMSi

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“…The electron spectrum of δ-doped quantum wells can be calculated from solving the Schrödinger equation jointly with the Poisson one (SP) [28][29][30][31][32][33][34][35][38][39][40][41][42][43][44][45][46][47]. It is possible to investigate δ-doped quantum wells also with a simpler approach based on the statistical Thomas-Fermi (TF) method [48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

COMBINED METHOD FOR SIMULATING ELECTRON SPECTRUM OF Δ-Doped QUANTUM WELLS IN N-Si WITH MANY-BODY CORRECTIONS

Castrejon-Martinez¹,

Grimalsky²,

Gaggero‐Sager³

et al. 2013

PIER M

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The combined method to investigate the electron spectrum of single n-type δ-doped quantum wells in silicon is proposed. It is based on computing the electron potential energy by means of the Thomas-Fermi method at finite temperatures; then the obtained electron potential energy is applied to the iteration procedure with solving the Schrödinger equations for the electron spectrum and the Poisson one for the potential energy. The many-body corrections to the electron spectrum in the quantum well also have been investigated. The combined method demonstrates a rapid convergence. It is shown that that the simple Thomas-Fermi method gives a good approximation for the electron potential energy and for the total electron concentration within the well.

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Averaged overall atomic electrons probability of positrons annihilation at beta-plus-decay

Fedotkin¹

2020

Nucl. Phys. At. Energy

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Semiclassical model of the structure of matter

Cited by 6 publications

References 94 publications

Modern Ab-Initio Calculations on Modified Tomas-Fermi-Dirac Theory

Modern Ab-Initio Calculations on Modified Tomas-Fermi-Dirac Theory

COMBINED METHOD FOR SIMULATING ELECTRON SPECTRUM OF Δ-Doped QUANTUM WELLS IN N-Si WITH MANY-BODY CORRECTIONS

Averaged overall atomic electrons probability of positrons annihilation at beta-plus-decay

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