Relevance of the Slowly Varying Electron Gas to Atoms, Molecules, and Solids

Relevance of the slowly varying electron gas to atoms, molecules, and solids.

We present a Thomas-Fermi-inspired density scaling under which electron densities of atomic, molecular, or condensed matter become both large and slowly varying, so that semiclassical approximations and second-order density gradient expansions are asymptotically exact for the kinetic and exchange energies. Thus, even for atoms and molecules, density-functional approximations should recover the ...

Dissociative electron attachment to molecules in the gas phase and in rare gas solids

surveying the relevance of proportions to the content of quran verses

چکیده : قرآن چشمه سار زلال هدایتی است که از سوی خداوند حکیم نازل شده تا بشر را به سر منزل کمال برساند. و در این راستا از شیوه های گوناگون بیانی خطابی و بلاغی استفاده کرده تا با فطرت زیبا طلب انسان درآمیزد و اورا مقهور خویش ساخته، به سوی کمالات سوق دهد.ازجمله جنبه های بارز اعجاز بیانی قرآن وجود فواصل در پایان آیات است که کار برد سجع و قافیه در کلام بشر شبیه آن است. برخی ازعلمای سلف تفاوت هایی ب...

consequence analysis of the leakage, ignition and explosion during high pressure sour gas injection process to the oil reservoir

there is no doubt that human being needs to become integrated with industry and industry needs to be progressed, daily. on the other hand, serious events in industrial units specially in oil industries has been shown that such damages and events are industry related ones. the consequence of such events and damages which resulted in chemical and poisoned explosions and loss of life and property ...

The Thomas-Fermi Theory of Atoms, Molecules and Solids

We place the Thomas-Fermi model of the quantum theory of atoms, molecules, and solids on a firm mathematical footing. Our results include: (1) A proof of existence and uniqueness of solutions of the nonlinear Thomas-Fermi equations as well as the fact that these solutions minimize the Thomas-Fermi energy functional, (2) a proof that in a suitable large nuclear charge limit, the quantum mechanic...