A geometrical setting for geometric phases on complex Grassmann manifolds

DOI10.1016/j.geomphys.2006.06.002zbMath1108.58005OpenAlexW2076273041MaRDI QIDQ864836

Maria Cristina Abbati, Alessandro Manià

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.06.002

zbMATH Keywords

geodesicsholonomygeometric phasesGrassmann manifoldsStiefel bundles

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Issues of holonomy in differential geometry (53C29) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items

Analytic bundle structure on the idempotent manifold

Cites Work

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• Semibounded unitary representations of double extensions of Hilbert-loop groups
• Hamiltonian systems on complex Grassmann manifolds. Holonomy and Schrödinger equation
• Über die Automorphismen Grassmannscher Mannigfaltigkeiten unendlicher Dimension
• On the nonlinear extension of quantum superposition and uncertainty principles
• The geometry of spaces of projections in \(C^*\)-algebras
• Holonomic quantum computation
• Projective spaces of a \(C^*\)-algebra
• Structure groups and holonomy in infinite dimensions
• Introduction to Grassmann manifolds and quantum computation
• The homotopy type of the unitary group of Hilbert space
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Lie groups with Banach spaces as parameter spaces
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• QUANTUM HOLONOMIES FOR QUANTUM COMPUTING
• Quantal phase factors accompanying adiabatic changes
• TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY
• The Rectifiable Metric on the Set of Closed Subspaces of Hilbert Space
• THE RECTIFIABLE METRIC ON THE SPACE OF PROJECTIONS IN A C*-ALGEBRA
• Existence of Universal Connections