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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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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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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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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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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Non-local approximations to the kinetic energy functional

Journal of Physics C Solid State Physics ◽

10.1088/0022-3719/16/4/014 ◽

1983 ◽

Vol 16 (4) ◽

pp. 677-689 ◽

Author(s):

M L Plumer ◽

D J W Geldart

Keyword(s):

Kinetic Energy ◽

Energy Functional ◽

Local Approximations ◽

Kinetic Energy Functional ◽

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Realizations of the noninteracting kinetic energy functional enhancement factor through local-scaling transformations: Atoms

International Journal of Quantum Chemistry ◽

10.1002/qua.10401 ◽

2002 ◽

Vol 91 (2) ◽

pp. 94-104 ◽

Author(s):

Eduardo V. Ludeña ◽

Valentin V. Karasiev ◽

Lorenzo Echevarría

Keyword(s):

Kinetic Energy ◽

Enhancement Factor ◽

Energy Functional ◽

Local Scaling ◽

Kinetic Energy Functional

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Exact orbital-free kinetic energy functional for general many-electron systems

Frontiers of Physics ◽

10.1007/s11467-019-0948-6 ◽

2020 ◽

Vol 15 (2) ◽

Author(s):

Thomas Pope ◽

Werner Hofer

Keyword(s):

Kinetic Energy ◽

Energy Functional ◽

Electron Systems ◽

Kinetic Energy Functional ◽

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Coupling-constant expression and exact relations for the kinetic-energy functional in pair-density-functional theory

Physical Review A ◽

10.1103/physreva.85.062508 ◽

2012 ◽

Vol 85 (6) ◽

Author(s):

Katsuhiko Higuchi ◽

Masahiko Higuchi

Keyword(s):

Density Functional Theory ◽

Kinetic Energy ◽

Density Functional ◽

Energy Functional ◽

Coupling Constant ◽

Functional Theory ◽

Pair Density ◽

Kinetic Energy Functional ◽

Exact Relations ◽

Constant Expression

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Atomic kinetic energy functional in density functional theory

The Journal of Chemical Physics ◽

10.1063/1.444883 ◽

1983 ◽

Vol 78 (3) ◽

pp. 1414-1419 ◽

Author(s):

Ken Ohwada

Keyword(s):

Density Functional Theory ◽

Kinetic Energy ◽

Density Functional ◽

Energy Functional ◽

Functional Theory ◽

Kinetic Energy Functional

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Gradient expansion of the atomic kinetic energy functional

Chemical Physics Letters ◽

10.1016/0009-2614(76)80588-x ◽

1976 ◽

Vol 43 (3) ◽

pp. 409-412 ◽

Author(s):

Wen-Ping Wang ◽

Robert G. Parr ◽

Danny R. Murphy ◽

George A. Henderson

Keyword(s):

Kinetic Energy ◽

Energy Functional ◽

Gradient Expansion ◽

Kinetic Energy Functional

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