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Energy dependence with the number of particles: Density and reduced density matrices functionals
(Elsevier Science, 2014-02)
The energy of a physical domain within a molecular system considered as a quantum open system is analyzed as a functional of the electron distribution dependence with the number of particles. Our attention is focused upon ...
Reactivity indices and response functions in density functional theory
(Elsevier, 1998)
The hardness and softness quantities defined in density functional theory are discussed. A new scheme to calculate the hardness and softness hierarchies without resorting to the finite difference approximation is outlined. ...
Conversion between basic density and apparent density at any moisture content in Eucalyptus grandis
(Walter De Gruyter Gmbh, 2014-12-01)
Wood basic density (BD) is related to other wood characteristics and its determination is important in forest inventory, though BD must be differentiated from the apparent density (AD), which relates to the moisture content ...
Exact phase space functional for two-body systems
(2010-11-21)
The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its phase dilemma. The corresponding sign rules ...
Density functional theory and an experimentally-designed energy functional of electron density
(2016-01-01)
We herein demonstrate that capacitance spectroscopy (CS) experimentally allows access to the energy associated with the quantum mechanical ground state of many-electron systems. Priorly, electrochemical capacitance, C[ρ], ...
Calculation of the statistical properties in intermittency using the natural invariant density
(Multidisciplinary Digital Publishing Institute, 2021-06)
We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ...
Orbital energies and nuclear forces in DFT: Interpretation and validation
(Wiley, 2020)
The bonding and antibonding character of individual molecular orbitals has been previously
shown to be related to their orbital energy derivatives with respect to nuclear
coordinates, known as dynamical orbital forces. ...
Differentiability of Palmer's linearization theorem and converse result for density functions
(Academic Press Inc., 2015)
© 2015 Elsevier Inc.We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorphism H between the solutions of a linear ODE system having ...
Functional density matrix formulation of quantum statistics
(American Physical Society, 2010-01-05)
Differentiability of Palmer's linearization theorem and converse result for density functions
(Academic Press Inc Elsevier Science, 2015)
We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorpbism H between the solutions of a linear ODE system having exponential dichotomy ...