Ray space Riccati evolution and geometric phases for N-level quantum systems

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dc.creatorChaturvedi, S.
dc.creatorErcolessi, E.
dc.creatorMarmo, G.
dc.creatorMorandi, G.
dc.creatorMukunda, N.
dc.creatorSimon, R.
dc.date2007-06-07
dc.date.accessioned2026-07-07T11:56:55Z
dc.date.available2026-07-07T11:56:55Z
dc.descriptionWe present a simple derivation of the matrix Riccati equations governing the reduced dynamics as one descends from the group U(N) describing the Schroedinger evolution of an N-level quantum system to the various coset spaces, Grassmanian manifolds, associated with it. The special case pertaining to the geometric phase in N-level systems is described in detail. Further, we show how the matrix Riccati equation thus obtained can be reformulated as an equation describing Hamiltonian evolution in a classical phase space and establish correspondences between the two descriptions.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0706.0964
dc.identifierhttp://arxiv.org/abs/0706.0964
dc.identifierPramana69:317-328,2007
dc.identifierdoi:10.1007/s12043-007-0135-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205704
dc.subjectQuantum Physics
dc.titleRay space Riccati evolution and geometric phases for N-level quantum systems
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