Stiefel and Grassmann manifolds in quantum chemistry

DOI10.1016/j.geomphys.2012.04.005zbMath1246.81483arXiv1105.1661OpenAlexW2111742205MaRDI QIDQ432284

Michael Melgaard, Eduardo Chiumiento

Publication date: 4 July 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1661

zbMATH Keywords

homogeneous spaceBanach-Lie groupFinsler manifoldvariational spaces in Hartree-Fock theory

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Many-body theory; quantum Hall effect (81V70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Group actions on manifolds and cell complexes in low dimensions (57M60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Molecular physics (81V55)

Related Items (6)

Dynamic tensor approximation of high-dimensional nonlinear PDEs ⋮ Geometry and symmetry of quantum and classical-quantum variational principles ⋮ The compatible Grassmannian ⋮ Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators ⋮ Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry ⋮ Coherent state map quantization in a Hermitian-like setting

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