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Open Quantum Systems Decoherence
Quantum Simulation
PT symmetry and a dynamical realization of the SU(1,1) algebra
arXiv
Authors: Rabin Banerjee, Pradip Mukherjee
Year
2014
Paper ID
46936
Status
Preprint
Abstract Read
~2 min
Abstract Words
67
Citations
N/A
Abstract
We show that the elementary modes of the planar harmonic oscillator can be quantised in the framework of quantum mechanics based on pseudo-hermitian hamiltonians. These quantised modes are demonstrated to act as dynamical structures behind a new Jordan - Schwinger realization of the SU(1,1) algebra. This analysis complements the conventional Jordan - Schwinger construction of the SU(2) algebra based on hermitian hamiltonians of a doublet of oscillators.
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