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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

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~2 min

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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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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1410.4678 [2] arXiv https://arxiv.org/abs/1410.4678 [3] Publisher https://arxiv.org/abs/1410.4678

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