The Berry phase and the phase of the determinant

DOI10.1063/1.4870622zbMath1303.81093arXiv1310.6332OpenAlexW3103374377MaRDI QIDQ5171317

Maxim Braverman

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6332

zbMATH Keywords

Berry phase

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Cites Work

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• Symmetrized trace and symmetrized determinant of odd class pseudo-differential operators
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• Quantal phase factors accompanying adiabatic changes
• On the adiabatic theorem of quantum mechanics
• Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
• The quantum Hall effect in graphene samples and the relativistic Dirac effective action

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