RECUR 发表于 2025-3-28 17:35:58
Application of the Irrotational Component Approximation to Nonspherical Density Atoms,sphericalized by ensemble averaging the different orientations (see e.g. Appendix D). Thus, in order that these atoms be represented in a more physically correct manner, and thereby obtain their properties more accurately, the nonsphericity of the density must be taken into account .apropos 发表于 2025-3-28 19:58:42
Introduction,ntal density functional theory (Q-DFT) is the description of a quantum-mechanical system of electrons in terms of . and their . within the framework of . theory. The theory is based on a similar description of Schrödinger theory in terms of quantal sources and fields . This “classica金丝雀 发表于 2025-3-29 01:59:20
http://reply.papertrans.cn/79/7807/780651/780651_43.pngoverhaul 发表于 2025-3-29 06:14:21
Quantal Density Functional Theory, one of . with equivalent density .(.). The existence of such a model system is an .. From the model system, it is then possible to obtain the energy . of the interacting system as well as its first ionization potential . (or electron affinity .). As the fermions of the model system are noninteractiCLOWN 发表于 2025-3-29 07:50:47
http://reply.papertrans.cn/79/7807/780651/780651_45.pngHILAR 发表于 2025-3-29 14:49:27
Nonuniqueness of the Effective Potential Energy and Wave Function in Quantal Density Functional The..(.), or equivalently of the electron-interaction potential energy function ..(.) of the model . system of noninteracting fermions. . ground state KS-DFT maps an interacting system in its . state to an . system that is also in its . state. As the density .(.) of the interacting and noninteracting f垫子 发表于 2025-3-29 18:12:45
, Approximations Within Quantal Density Functional Theory,le, in the Hartree approximation (see also .), one chooses a wave function that is a product of single-particle spin-orbitals. The Hartree wave function does not obey the Pauli exclusion principle, as it is not antisymmetric in an interchange of the coordinates of the electrons including its spiDEVIL 发表于 2025-3-29 22:51:06
Analytical Asymptotic Structure in the Classically Forbidden Region of Atoms,sult that is rigorous; (b) the derivation can lead to physical insights; (c) it obviates the need for numerical work in those regions of space where the analytical results are valid; (d) the analytical results help in confirming the correctness of the numerical component of the calculation by the reIntegrate 发表于 2025-3-30 00:16:06
http://reply.papertrans.cn/79/7807/780651/780651_49.pngexostosis 发表于 2025-3-30 04:14:01
Application of the Q-DFT Hartree Uncorrelated Approximation to Atoms,alent density .(.) and energy . are obtained. For this mapping, the corresponding expressions for the local electron-interaction potential energy . of the model fermions, and the energy ., contain Correlation-Kinetic components. If the model system is constructed with the Correlation-Kinetic contrib