Is an interacting ground state (pure state) v-representable density also non-interacting ground state v-representable by a Slater determinant? In the absence of degeneracy, yes!

Publication date: Available online 13 March 2019Source: Physics Letters AAuthor(s): A. GonisAbstractIt is shown that in the absence of degeneracy a density, n(r), describing the probability of finding a particle in a small volume at position, r, that is known to be pure-state v-representable in terms of the ground state of an interacting system of particles evolving under an external potential, v(r), is also pure state v-representable in terms of a single Slater determinant describing the ground state of a system of non-interacting particles under a potential, vs(r). This establishes the validity of the Kohn–Sham formalism of density functional theory. An explicit form of vs(r) is derived. We also derive the exact form of the correlation functional and the corresponding potential, μc(r), that lead to the exact density and energy of an interacting system's ground state. Finally, we demonstrate that practical implementations of the Kohn–Sham formalism can generate neither the exact density nor energy of an interacting system's ground state, a feature that is particularly true in the case of the so-called exact exchange, in which the correlation functional and potential are set equal to zero.
Source: Physics Letters A - Category: Physics Source Type: research

Related Links:

CONCLUSIONS: The concept of soldier-centered care often emerges in discussions about optimal physical performance and medical readiness for soldiers. Although soldier-centered care and patient-centered care have similar conceptual underpinning, it is important to clarify the unique physical and medical requirements for soldiers that differentiate soldier-centered care from patient-centered care. Implementing the defining attributes of soldier-centered care in the U.S. Army primary care setting may improve the quality of care and health outcomes for soldiers. When defining performance metrics for primary care models of care...
Source: Military Medicine - Category: International Medicine & Public Health Tags: Mil Med Source Type: research
Authors: Waller SG Abstract Three important but neglected principles of evaluation of global health engagement missions are stakeholder engagement, impact, and relative value. Implementing better M&E programs could be carried out in this fiscal year, without new appropriations or manpower. The result would be cost savings and improved security cooperation. PMID: 31942621 [PubMed - as supplied by publisher]
Source: Military Medicine - Category: International Medicine & Public Health Tags: Mil Med Source Type: research
Publication date: Available online 18 January 2020Source: Clinica Chimica ActaAuthor(s): Guodong Zhao, Yong Ma, Hui Li, Shiming Li, Yun Zhu, Xiaoyu Liu, Shangmin Xiong, Yi Liu, Jin Miao, Sujuan Fei, Minxue Zheng, Xiangwei ZhaoAbstractBackgroundMethylated SFRP2 was previously reported as a non-invasive biomarker for colorectal cancer (CRC) detection with a relatively low sensitivity for early stage CRC. The purpose of this study was to evaluate the performance of a new plasma based CRC screening assay, SpecColon test, which tested methylated SFRP2 and SDC2 simultaneously in a single qPCR reaction, in detecting CRC and advan...
Source: Clinica Chimica Acta - Category: Laboratory Medicine Source Type: research
CONCLUSIONS: MHR may be a significant and independent predictor of poor functional outcome in patients with AIS. PMID: 31941849 [PubMed - as supplied by publisher]
Source: Journal of Atherosclerosis and Thrombosis - Category: Cardiology Tags: J Atheroscler Thromb Source Type: research
.
Source: International Journal of Audiology - Category: Audiology Authors: Source Type: research
Authors: Ieda N, Assadullah, Minabe S, Ikegami K, Watanabe Y, Sugimoto Y, Sugimoto A, Kawai N, Ishii H, Inoue N, Uenoyama Y, Tsukamura H Abstract Accumulating evidence suggests that kisspeptin neurons in the arcuate nucleus (ARC), which coexpress neurokinin B and dynorphin, are involved in gonadotropin-releasing hormone (GnRH)/luteinizing hormone (LH) pulse generation, while the anteroventral periventricular nucleus (AVPV) kisspeptin neurons are responsible for GnRH/LH surge generation. The present study aims to examine whether GnRH(1-5), a GnRH metabolite, regulates LH release via kisspeptin neurons. GnRH(1-5) was...
Source: Endocrine Journal - Category: Endocrinology Tags: Endocr J Source Type: research
In conclusion, caffeine decreased oxidative stress and adipogenesis in GO orbital fibroblasts in vitro. These findings may contribute to the development of new types of caffeine-containing pharmacological agents for use in the management of GO. PMID: 31941844 [PubMed - as supplied by publisher]
Source: Endocrine Journal - Category: Endocrinology Tags: Endocr J Source Type: research
.
Source: Early Education and Development - Category: Child Development Authors: Source Type: research
.
Source: Applied Developmental Science - Category: Child Development Authors: Source Type: research
.
Source: Applied Developmental Science - Category: Child Development Authors: Source Type: research
More News: Physics