Hamiltonian Systems on Complex Grassmann Manifold. Holonomy and Schrodinger Equation

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dc.creatorGiunashvili, Zakaria
dc.date2002-09-25
dc.date.accessioned2026-07-07T06:05:01Z
dc.date.available2026-07-07T06:05:01Z
dc.descriptionDifferential geometric structures such as the principal bundle for the canonical vector bundle on a complex Grassmann manifold, the canonical connection form on this bundle, the canonical symplectic form on a complex Grassmann manifold and the corresponding dynamical systems are investigated. The Grassmann manifold is considered as an orbit of the co-adjoint action and the symplectic form is described as the restriction of the canonical Poisson structure on a Lie coalgebra. The holonomy of the connection on the principal bundle over Grassmannian and its relation with Berry phase is considered and investigated for the integral curves of Hamiltonian dynamical systems.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0209141
dc.identifierhttp://arxiv.org/abs/quant-ph/0209141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90515
dc.subjectQuantum Physics
dc.titleHamiltonian Systems on Complex Grassmann Manifold. Holonomy and Schrodinger Equation
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