Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states

Details Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states

2012-03-07

arxiv.org/abs/1203.1575v3

Physics

Mathematical Physics

Scientific paper

The behavior of an electron in an external uniform electromagnetic background
coupled to a harmonic potential, with noncommuting space coordinates, is
considered in this work. The thermodynamics of the system is studied. Matrix
vector coherent states (MVCS) as well as quaternionic vector coherent states
(QVCS), satisfying required properties, are also constructed and discussed.

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