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首页> 外文期刊>Physics and Chemistry of Liquids >Some model inhomogeneous electron liquid in D dimensions: relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theorem
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Some model inhomogeneous electron liquid in D dimensions: relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theorem

机译:D维上非均匀电子液体的一些模型:能量和化学势之间的关系以及加藤核尖峰定理的空间概括

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After a brief survey on the application of the Thomas-Fermi statistical method to bare Coulomb potential satisfying Laplace equation in D dimensions, which then relates energy and chemical potential, we next focus attention on model atomic ions with merely one and two electrons in D dimensions. In particular, for a bare Coulomb field we use the nodeless radial eigenfunctions given by Herschbach in D dimensions to derive the spatial generalization of Kato's nuclear cusp theorem in D dimensions for D  1. The unbinding of H − as a function of dimensionality D is also briefly referred.View full textDownload full textKeywordselectron liquid in D dimension, cusp condition in bare Coulomb field, generalization of Kato's theoremRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00319104.2011.587191
机译:在简要研究了将Thomas-Fermi统计方法应用于满足D维上的Laplace方程的裸库仑电势(然后将其与能量和化学势相关联)之后,接下来我们将注意力集中在D维上仅具有一个和两个电子的原子离子模型上。特别是对于一个裸露的库仑场,我们使用Herschbach在D维度上给出的无节点径向本征函数来得出D≥1的D维度上的加藤核尖定理的空间概括。还简要介绍了H ∠作为维D的函数的解除绑定。查看全文下载全文关键词维D在维中呈液态,在库仑空域中处于尖峰状态,加藤定理的推广相关var addthis_config = { ui_cobrand:“ Taylor&Francis Online”,servicescompact:“ citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,更多”,发布:“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00319104.2011.587191

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