Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields

DOI10.1016/j.geomphys.2010.12.004zbMath1207.81021arXiv1011.6536OpenAlexW1579890571MaRDI QIDQ627221

P. Košťáková, Pavel Šťovíček

Publication date: 21 February 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6536

zbMATH Keywords

propagatorGreen functioncovering spaceperiodic HamiltonianBloch analysis

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Applications of global differential geometry to the sciences (53C80) Invariance and symmetry properties for PDEs on manifolds (58J70) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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