"Peireles Substitution" and Chern-Simons Quantum Mechanics

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.

References in corpus (2)

• Fermions in the Lowest Landau Level: Bosonization, $W_{\infty }$ Algebra, Droplets, Chiral Boson
• One-Dimensional Fermions as Two-Dimensional Droplets Via Chern-Simons Theory

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