This work addresses a method for constructing supersymmetric vector coherent states (VCS) for a two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit (SO) interactions, with an effective Zeeman coupling. The model Hamiltonian, decomposed into two conveniently defined operators, acts on a tensor product of two Hilbert spaces associated with corresponding chiral sectors. Supersymmetric (SUSY) VCS, related to a SUSY pair of Hamiltonians, are built. A generalized oscillator algebra is provided using quadrature operators. Mean-values of position and momentum operators and uncertainty relation in the SUSY VCS are obtained and discussed. Besides, the SUSY VCS time evolution is also given.
CITATION STYLE
Aremua, I., Baloïtcha, E., & Hounkonnou, M. N. (2015). Supersymmetric vector coherent states for systems with Zeeman coupling and spin-orbit interactions. In Trends in Mathematics (Vol. 71, pp. 113–126). Springer International Publishing. https://doi.org/10.1007/978-3-319-18212-4_7
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