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The Berry phase and the phase of the determinant

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 نشر من قبل Maxim Braverman
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Maxim Braverman




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In 1984 Michael Berry discovered that an isolated eigenstate of an adiabatically changing periodic Hamiltonian $H(t)$ acquires a phase, called the Berry phase. We show that under very general assumptions the adiabatic approximation of the phase of the zeta-regularized determinant of the imaginary-time Schrodinger operator with periodic Hamiltonian is equal to the Berry phase.



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