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$PT$ symmetry and a dynamical realization of the SU(1,1) algebra | | Rabin Banerjee
; Pradip Mukherjee
; | | Date: |
17 Oct 2014 | | 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. | | Source: | arXiv, 1410.4678 | | Services: | Forum | Review | PDF | Favorites | |
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