Chern numbers, quaternions, and Berry's phases in Fermi systems (Q1812721)

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scientific article; zbMATH DE number 4041
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Chern numbers, quaternions, and Berry's phases in Fermi systems
scientific article; zbMATH DE number 4041

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    Chern numbers, quaternions, and Berry's phases in Fermi systems (English)
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    25 June 1992
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    Chern classes
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    adiabatic connection
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    spectrum of operator family
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    quaternionic vector spaces
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    Hamiltonians
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    even under time reversal
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    systems with \(\text{spin } J\) in a quadrupole electric field
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    Fermi systems
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    half-odd-integer spin
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    adiabatic curvature and holonomy
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    generalization of the Berry phase to bundles
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    Chern numbers
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    bundles with self-dual or anti-self-dual curvatures
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