Exact single-particle kinetic energy functional for general two-level and modeln-level one-dimensional systems: Dependence only on electron density and its gradient

Physical Review A ◽

10.1103/physreva.39.4270 ◽

1989 ◽

Vol 39 (8) ◽

pp. 4270-4271 ◽

Author(s):

P. M. Kozlowski ◽

N. H. March

Keyword(s):

Kinetic Energy ◽

Electron Density ◽

Single Particle ◽

Energy Functional ◽

One Dimensional ◽

Kinetic Energy Functional ◽

Particle Kinetic Energy

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Functional differentiation, line integration, and departures from homogeneity of the single-particle kinetic energy functional for one-dimensional systems of N fermions

Journal of Mathematical Physics ◽

10.1063/1.1379069 ◽

2001 ◽

Vol 42 (8) ◽

pp. 3361-3371 ◽

Author(s):

N. H. March ◽

L. M. Nieto

Keyword(s):

Kinetic Energy ◽

Single Particle ◽

Functional Differentiation ◽

Energy Functional ◽

One Dimensional ◽

Kinetic Energy Functional ◽

Particle Kinetic Energy

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Closed Relation Between Single-Particle Kinetic Energy and Electron Density in One-Dimensional Two-Level Systems

Acta Physica Polonica A ◽

10.12693/aphyspola.82.421 ◽

1992 ◽

Vol 82 (3) ◽

pp. 421-424

Author(s):

P.M. Kozłowski ◽

N.H. March

Keyword(s):

Kinetic Energy ◽

Electron Density ◽

Single Particle ◽

One Dimensional ◽

Two Level Systems ◽

Particle Kinetic Energy

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Lowest excitation energy in atoms in the adiabatic approximation related to the single-particle kinetic energy functional

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/32/9/308 ◽

1999 ◽

Vol 32 (9) ◽

pp. 2173-2179 ◽

Author(s):

Norman H March ◽

Angel Rubio ◽

Julio A Alonso

Keyword(s):

Kinetic Energy ◽

Excitation Energy ◽

Single Particle ◽

Adiabatic Approximation ◽

Energy Functional ◽

Kinetic Energy Functional ◽

Particle Kinetic Energy

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Attainable accuracy in the numerical integration of the Thomas?Fermi kinetic-energy functional using a modeled electron density

Journal of Mathematical Chemistry ◽

10.1007/bf01164450 ◽

1993 ◽

Vol 14 (1) ◽

pp. 1-6

Author(s):

P. Csavinszky

Keyword(s):

Kinetic Energy ◽

Numerical Integration ◽

Electron Density ◽

Energy Functional ◽

Thomas Fermi ◽

Kinetic Energy Functional

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Kohn-Sham equations with constrained electron density: The effect of various kinetic energy functional parametrizations on the ground-state molecular properties

International Journal of Quantum Chemistry ◽

10.1002/(sici)1097-461x(1997)61:2<303::aid-qua13>3.0.co;2-c ◽

1997 ◽

Vol 61 (2) ◽

pp. 303-311 ◽

Author(s):

Tomasz Adam Wesolowski ◽

Jacques Weber

Keyword(s):

Kinetic Energy ◽

Electron Density ◽

Ground State ◽

Energy Functional ◽

Molecular Properties ◽

Kinetic Energy Functional

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Non-local kinetic energy functional for an arbitrary number of Fermions moving independently in one-dimensional harmonic oscillator potential

Physics Letters A ◽

10.1016/s0375-9601(00)00288-7 ◽

2000 ◽

Vol 270 (1-2) ◽

pp. 88-92 ◽

Author(s):

N.H. March ◽

P. Senet ◽

V.E. Van Doren

Keyword(s):

Kinetic Energy ◽

Harmonic Oscillator ◽

Arbitrary Number ◽

Energy Functional ◽

Oscillator Potential ◽

Harmonic Oscillator Potential ◽

One Dimensional ◽

Kinetic Energy Functional ◽

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Exact properties of the Pauli potential for the square root of the electron density and the kinetic energy functional

Physical Review A ◽

10.1103/physreva.38.625 ◽

1988 ◽

Vol 38 (2) ◽

pp. 625-629 ◽

Author(s):

Mel Levy ◽

Hui Ou-Yang

Keyword(s):

Kinetic Energy ◽

Electron Density ◽

Energy Functional ◽

Square Root ◽

Pauli Potential ◽

Kinetic Energy Functional

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Machine Learning Kinetic Energy Functional for a One-Dimensional Periodic System

Chinese Physics Letters ◽

10.1088/0256-307x/38/5/050701 ◽

2021 ◽

Vol 38 (5) ◽

pp. 050701

Author(s):

Hong-Bin Ren ◽

Lei Wang ◽

Xi Dai

Keyword(s):

Machine Learning ◽

Kinetic Energy ◽

Periodic System ◽

Energy Functional ◽

One Dimensional ◽

Kinetic Energy Functional

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Density-potential relation via the single-particle kinetic energy density for one-dimensional two-level fermion systems with application to Be-like atomic ions in the(1s)2(2s)2configuration

Physical Review A ◽

10.1103/physreva.74.054503 ◽

2006 ◽

Vol 74 (5) ◽

Author(s):

I. A. Howard ◽

N. H. March

Keyword(s):

Energy Density ◽

Kinetic Energy ◽

Single Particle ◽

Kinetic Energy Density ◽

One Dimensional ◽

Atomic Ions ◽

Fermion Systems ◽

Particle Kinetic Energy

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Kinetic-energy functional of the electron density

Physical Review B ◽

10.1103/physrevb.45.13196 ◽

1992 ◽

Vol 45 (23) ◽

pp. 13196-13220 ◽

Author(s):

Lin-Wang Wang ◽

Michael P. Teter

Keyword(s):

Kinetic Energy ◽

Electron Density ◽

Energy Functional ◽

Kinetic Energy Functional

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