Tag Rabin Banerjee

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PT symmetry and a dynamical realization of the SU(1,1) algebra

Oct 18, ’14 9:34 PM

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)

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Elementary modes of coupled oscillators with balanced loss and gain

Aug 22, ’14 7:26 PM

Rabin Banerjee, Pradip Mukherjee

We provide a reduction of a set of two coupled oscillators with balanced loss and gain in their elementary modes. A possible method of quantization based on these elementary modes, in the framework of PT symmetric quantum mechanics is indicated.

http://arxiv.org/abs/1408.5038
High Energy Physics – Theory (hep-th)

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