The PT Symmeter » Barasat Government College http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 PT symmetry and a dynamical realization of the SU(1,1) algebra http://ptsymmetry.net/?p=1779&utm_source=rss&utm_medium=rss&utm_campaign=pt-symmetry-and-a-dynamical-realization-of-the-su11-algebra http://ptsymmetry.net/?p=1779#comments Sat, 18 Oct 2014 21:34:02 +0000 dwh http://ptsymmetry.net/?p=1779 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)

]]> http://ptsymmetry.net/?feed=rss2&p=1779 0 Elementary modes of coupled oscillators with balanced loss and gain http://ptsymmetry.net/?p=1802&utm_source=rss&utm_medium=rss&utm_campaign=elementary-modes-of-coupled-oscillators-with-balanced-loss-and-gain http://ptsymmetry.net/?p=1802#comments Fri, 22 Aug 2014 19:26:04 +0000 dwh http://ptsymmetry.net/?p=1802 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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