“Peierls substitution” and Chern-Simons Quantum mechanics

1992/04/17 by Gerald V. Dunne, Gerald Dunne, R. Jackiw +1 · 10 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #hep-th

paper · pdf · doi:10.1016/0920-5632(93)90376-h

published as Nucl.Phys.Proc.Suppl. 33C (1993) 114-118

arxiv created 1992/04/17 · openalex publication_date 1993/11/01 · arxiv updated 2009/11/30 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

Abstract

An elementary derivation is given for the ``Peierles substitution'' used in projecting dynamics in a strong magnetic field onto the lowest Landau level. The projection of wavefunctions and the ordering prescription for the projected Hamiltonian is explained.

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