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- W2070035374 abstract "Using algebraic topology, the appearance of the Quantum Adiabatic Phase over various parameter manifolds is investigated. The relation with nontrivial gauge bundles (both abelian and non-abelian) is studied and it is shown that the phase appears as a result of homotopically non-trivial mappings, induced by the Hamiltonian in the space of wave-functions. The cohomological picture is developed and some topological considerations concerning field theory anomalies in the Hamiltonian picture are presented. A proof of the Nielsen-Ninomiya theorem is given inspired from the notion of the adiabatic phase." @default.
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- W2070035374 date "1987-09-01" @default.
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- W2070035374 title "A topological investigation of the Quantum Adiabatic Phase" @default.
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- W2070035374 doi "https://doi.org/10.1007/bf01238907" @default.
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