Numerical Analysis of Finite Dimensional Approximations in Finite Temperature DFT

التفاصيل البيبلوغرافية
العنوان: Numerical Analysis of Finite Dimensional Approximations in Finite Temperature DFT
المؤلفون: Xu, Ge, Chen, Huajie, Gao, Xingyu
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis
الوصف: In this paper, we study numerical approximations of the ground states in finite temperature density functional theory. We formulate the problem with respect to the density matrices and justify the convergence of the finite dimensional approximations. Moreover, we provide an optimal a priori error estimate under some mild assumptions and present some numerical experiments to support the theory.
Comment: 20 pages, 6 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.07059
رقم الأكسشن: edsarx.2405.07059
قاعدة البيانات: arXiv