کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1894874 1044248 2012 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stiefel and Grassmann manifolds in quantum chemistry
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Stiefel and Grassmann manifolds in quantum chemistry
چکیده انگلیسی

We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree–Fock theory and beyond. In particular, we prove that they are analytic homogeneous spaces and submanifolds of the space of bounded operators on the single-particle Hilbert space. As a by-product we obtain that they are complete Finsler manifolds. These geometric properties underpin state-of-the-art results on the existence of solutions to Hartree–Fock type equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 8, August 2012, Pages 1866–1881
نویسندگان
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