{"id":16357,"date":"2023-03-14T04:19:27","date_gmt":"2023-03-14T04:19:27","guid":{"rendered":"https:\/\/file.currentschoolnews.com\/?post_type=product&p=16357"},"modified":"2023-03-14T09:17:41","modified_gmt":"2023-03-14T09:17:41","slug":"development-of-a-correction-term-for-the-kinetic-energy-density-functional","status":"publish","type":"product","link":"https:\/\/pastexamquestions.com\/product\/development-of-a-correction-term-for-the-kinetic-energy-density-functional\/","title":{"rendered":"Development of a Correction Term for the Kinetic Energy Density Functional"},"content":{"rendered":"

Download Development of a Correction Term for the Kinetic Energy Density Functional<\/strong><\/span>. Physics students who are writing their projects can get this material to aid their research work.<\/span><\/span><\/p>\n

Abstract<\/b><\/span><\/h2>\n

Density functional theory (DFT) is a useful theoretical and computational tool for electronic structure calculations, which form the basis for the classification of materials into conductors, semiconductors or insulators. <\/span><\/p>\n

DFT started with a crude approximation by Thomas and Fermi (TF theory) which calculated the kinetic energy of electrons using the so-called local density approximation (LDA). <\/span><\/p>\n

Although TF is computationally inexpensive, it provides a poor numerical result due to a lack of understanding of the density dependence of the kinetic energy. <\/span><\/p>\n

Another approximation to the kinetic energy is the von-<\/span>Weizsacker<\/span>\u00a0(<\/span>vW<\/span>) term, which greatly improves the TF theory, yet the full functional form of the kinetic energy remains unknown. <\/span><\/p>\n

We seek to develop a supplemental term to the kinetic energy density functional and compute corrections to the Thomas-Fermi-von-<\/span>Weizsacker<\/span>\u00a0kinetic energy of closed shell atoms in order to improve its accuracy.<\/span>\u00a0<\/span><\/p>\n

\"\"<\/a><\/span><\/p>\n

Introduction<\/span><\/span><\/strong><\/span><\/h2>\n

The quantum mechanics of many-electron systems which have descriptions from time dependent and time-independent\u00a0<\/span>Schr\u00a8odinger<\/span>\u00a0and Liouville equations, is to a good approximation ostensibly a well-understood subject. <\/span><\/p>\n

The\u00a0<\/span>Schr\u00a8odinger<\/span>\u00a0equations present the theoretical bases for the description of both the time evolution and pure stationary states properties of atoms and molecules. <\/span><\/p>\n

In treating some quantum mechanical systems such as biological molecules and liquids where the individuality of molecules ceases to exist, rather collective effects becomes predominant, it is immaterial to talk of pure states.<\/span><\/p>\n

However, in each case of pure states and ensemble of non-trivial many-electron systems, the equations involved are not without complicated and complex mathematical parameters with little or no analytical or numerical solutions. equations.<\/span><\/p>\n

Although, non-relativistic Hamiltonian operators for systems interacting Coulombically can be written explicitly for these equations, understanding a priori, the subtleties of the\u00a0<\/span>manybody<\/span>\u00a0behavior that ensues from these interactions remains a challenge.<\/span><\/p>\n

\"\"<\/a><\/span><\/p>\n

How to Download this Project Material<\/strong><\/span><\/h2>\n

First, note that we are one of the best and most reliable online platforms because we don\u2019t retain any of your personal information or data as regards making payments online.<\/span><\/p>\n

PRICE: <\/strong>\u20a63,500<\/b><\/del><\/span> \u20a63,000\u00a0 (Three Thousand Naira Only)<\/b><\/span><\/h2>\n

\"\"<\/a><\/span><\/h2>\n

Make a bank deposit or mobile transfer of \u20a62,000\u00a0<\/strong>only to the account given below;<\/span><\/p>\n

\n

Bank Name:<\/b>\u00a0UBA Account Number:<\/b>\u00a01022564031 Account Name:<\/b>\u00a0TMLT PRO SERVICES<\/span><\/p>\n

\n

After making the payment,\u00a0CLICK HERE\u00a0<\/strong><\/a>to send the following on WhatsApp;<\/span><\/p>\n