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Stiefel and Grassmann manifolds in quantum chemistry
journal contribution
posted on 2023-06-08, 14:58 authored by Eduardo Chiumiento, Michael MelgaardMichael MelgaardWe 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.
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Publication status
- Published
Journal
Journal of Geometry and PhysicsISSN
0393-0440Publisher
ElsevierExternal DOI
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8Volume
62Page range
1866-1881Department affiliated with
- Mathematics Publications
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- No
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- Yes
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2013-05-20Usage metrics
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