Landau operator on the quaternionic field
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Publication:6502717
arXiv1004.5223MaRDI QIDQ6502717
Dominique Kazmierowski, Azzouz Zinoun, A. Intissar
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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