Rabin Banerjee, Pradip Mukherjee

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.

http://arxiv.org/abs/1410.4678

Quantum Physics (quant-ph); High Energy Physics – Theory (hep-th)