skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The Berry phase and the phase of the determinant

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4870622· OSTI ID:22250805
 [1]
  1. Department of Mathematics, Northeastern University, Boston, Massachusetts 02115 (United States)

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.

OSTI ID:
22250805
Journal Information:
Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English