Landau operator on the quaternionic field

Published 29 Apr 2010 in math-ph and math.MP | (1004.5223v1)

Abstract: The Landau operator on the quaternionic field is defined as the partial Fourier transform of the sub-Laplacian on the quaternionic Heisenberg group. This operator is viewed as the Hamiltonian of two harmonic oscillators on the two dimensional complex space with a uniform magnetic field.

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