The Holographic Electron Density Theorem, de-quantization, re-quantization, and nuclear charge space extrapolations of the Universal Molecule Model

Mapping Intimacies ◽

10.1063/1.5012279 ◽

2017 ◽

Author(s):

Paul G. Mezey

Keyword(s):

Electron Density ◽

Nuclear Charge ◽

Density Theorem ◽

Holographic Electron Density Theorem ◽

Charge Space ◽

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Mathematical aspects of the LCAO MO first order density function (4): a discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT)

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9780-5 ◽

2010 ◽

Vol 49 (4) ◽

pp. 836-842 ◽

Author(s):

R. Carbó-Dorca ◽

E. Besalú

Keyword(s):

Density Function ◽

Electron Density ◽

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Density Theorem ◽

Electronic Density ◽

First Order ◽

Holographic Electron Density Theorem ◽

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Communications on quantum similarity (2): A geometric discussion on holographic electron density theorem and confined quantum similarity measures

Journal of Computational Chemistry ◽

10.1002/jcc.21537 ◽

2010 ◽

pp. NA-NA ◽

Author(s):

R. Carbó-Dorca ◽

E. Besalú

Keyword(s):

Electron Density ◽

Similarity Measures ◽

Density Theorem ◽

Quantum Similarity ◽

Holographic Electron Density Theorem ◽

Quantum Similarity Measures

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The holographic electron density theorem and quantum similarity measures

Molecular Physics ◽

10.1080/00268979909482950 ◽

1999 ◽

Vol 96 (2) ◽

pp. 169-178 ◽

Author(s):

PAUL G. MEZEY

Keyword(s):

Electron Density ◽

Similarity Measures ◽

Density Theorem ◽

Quantum Similarity ◽

Holographic Electron Density Theorem ◽

Quantum Similarity Measures

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Existence of time-dependent density-functional theory for open electronic systems: Time-dependent holographic electron density theorem

Physical Chemistry Chemical Physics ◽

10.1039/c1cp20777f ◽

2011 ◽

Vol 13 (32) ◽

pp. 14358 ◽

Author(s):

Xiao Zheng ◽

ChiYung Yam ◽

Fan Wang ◽

GuanHua Chen

Keyword(s):

Density Functional Theory ◽

Electron Density ◽

Density Functional ◽

Density Theorem ◽

Time Dependent ◽

Electronic Systems ◽

Functional Theory ◽

Holographic Electron Density Theorem ◽

Dependent Density

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Topological Similarity of Molecules and the Consequences of the Holographic Electron Density Theorem, an Extension of the Hohenberg-Kohn Theorem

Mathematical and Computational Chemistry - Fundamentals of Molecular Similarity ◽

10.1007/978-1-4757-3273-3_8 ◽

2001 ◽

pp. 113-124 ◽

Author(s):

Paul G. Mezey

Keyword(s):

Electron Density ◽

Density Theorem ◽

Topological Similarity ◽

Holographic Electron Density Theorem

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Electron density in two-electron ions in the limit of large nuclear charge

Physics Letters A ◽

10.1016/0375-9601(81)90225-5 ◽

1981 ◽

Vol 85 (2) ◽

pp. 75-76 ◽

Author(s):

N.H. March ◽

R. Pucci

Keyword(s):

Electron Density ◽

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Simple analytic bounds for the electronic energy from level set boundaries of nuclear charge space

Physical Review A ◽

10.1103/physreva.35.4044 ◽

1987 ◽

Vol 35 (10) ◽

pp. 4044-4050 ◽

Author(s):

Gustavo A. Arteca ◽

Paul G. Mezey

Keyword(s):

Level Set ◽

Nuclear Charge ◽

Electronic Energy ◽

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The isoelectronic and isoprotonic energy hypersurface and the topology of the nuclear charge space

International Journal of Quantum Chemistry ◽

10.1002/qua.560200830 ◽

2009 ◽

Vol 20 (S15) ◽

pp. 279-285 ◽

Author(s):

Paul G. Mezey

Keyword(s):

Nuclear Charge ◽

Charge Space ◽

Energy Hypersurface

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Two-parameter partially correlated ground-state electron density of some light spherical atoms from Hartree-Fock theory with nonintegral nuclear charge

Physical Review A ◽

10.1103/physreva.75.052502 ◽

2007 ◽

Vol 75 (5) ◽

Author(s):

Nicolás A. Cordero ◽

Norman H. March ◽

Julio A. Alonso

Keyword(s):

Electron Density ◽

Ground State ◽

Nuclear Charge ◽

Hartree Fock ◽

State Electron ◽

Two Parameter ◽

Ground State Electron

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Level set topology of the nuclear charge space and the electronic energy functional

International Journal of Quantum Chemistry ◽

10.1002/qua.560220111 ◽

1982 ◽

Vol 22 (1) ◽

pp. 101-114 ◽

Author(s):

Paul G. Mezey

Keyword(s):

Level Set ◽

Nuclear Charge ◽

Energy Functional ◽

Electronic Energy ◽

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