2013-08-012024-05-14https://scholars.lib.ntu.edu.tw/handle/123456789/658027摘要：近二十年來，密度泛函理論已被廣為應用於大尺度電子系統之基態特性。最近，超冷原子費米氣體之密度泛函理論亦開始發展，且最簡單的密度泛函(即: 局部密度近似)也已被提出。我們計畫將該密度泛函理論的實用性推廣至超冷原子費米氣體系統之各類特性。首先，我們將發展比局部密度近似更精確，且又高效率的密度泛函。建立各類資料庫，以檢驗泛函之精確度。再來，我們將推廣先前在本組已發展的精確能隙算法至冷原子費米氣體系統。<br> Abstract: Over the past two decades, density functional theory (DFT) has been widely adopted for the study of the ground-state properties of large electronic systems. Very recently, a DFT for ultracold atomic Fermi gases was proposed, and the simplest density functional (i.e., local density approximation (LDA)) was developed. We plan to extend the range of applicability of DFT to a wide range of properties in the ultracold atomic Fermi gas systems. First, we plan to develop efficient and accurate density functionals (going beyond the LDA) for such systems, and examine their accuracy on various databases. Secondly, we plan to extend our previously developed scheme for the evaluation of the fundamental gap in the electronic systems to the ultracold atomic Fermi gas systems.密度泛函理論超冷原子費米氣體可調式相互作用局部密度近似導數不連續性Density Functional TheoryUltracold Atomic Fermi GasesTunable InteractionsLocal Density ApproximationDerivative Discontinuity