skip to main content

Title: The Berry phase and the phase of the determinant

We show that under very general assumptions the adiabatic approximation of the phase of the zeta-regularized determinant of the imaginary-time Schrödinger operator with periodic Hamiltonian is equal to the Berry phase.
Authors:
 [1]
  1. Department of Mathematics, Northeastern University, Boston, Massachusetts 02115 (United States)
Publication Date:
OSTI Identifier:
22250805
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADIABATIC APPROXIMATION; BERRIES; HAMILTONIANS; PERIODICITY