Non-Abelian Geometric Phase, Floquet Theory, and Periodic Dynamical Invariants

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dc.creatorMostafazadeh, Ali
dc.date1998-10-22
dc.date.accessioned2026-07-07T10:55:09Z
dc.date.available2026-07-07T10:55:09Z
dc.descriptionFor a periodic Hamiltonian, periodic dynamical invariants may be used to obtain non-degenerate cyclic states. This observation is generalized to the degenerate cyclic states, and the relation between the periodic dynamical invariants and the Floquet decompositions of the time-evolution operator is elucidated. In particular, a necessary condition for the occurrence of cyclic non-adiabatic non-Abelian geometrical phase is derived. Degenerate cyclic states are obtained for a magnetic dipole interacting with a precessing magnetic field.
dc.descriptionPlain LaTeX, 13 pages, accepted for publication in J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/quant-ph/9810064
dc.identifierhttp://arxiv.org/abs/quant-ph/9810064
dc.identifierJ.Phys.A31:9975-9982,1998
dc.identifierdoi:10.1088/0305-4470/31/49/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186026
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Abelian Geometric Phase, Floquet Theory, and Periodic Dynamical Invariants
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