Landau operator on the quaternionic field

Azzouz Zinoun (1) , Dominique Kazmierowski (1) , Ahmed Intissar (1)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523

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.

Mots clés: Heisenberg group; quantum mechanics; Landau operator

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Azzouz Zinoun, Dominique Kazmierowski, Ahmed Intissar. Landau operator on the quaternionic field. 2010. ⟨hal-00467838⟩