PT symmetry and a dynamical realization of the SU(1, 1) algebra
Keyword(s):
We show that the elementary modes of the planar harmonic oscillator can be quantized in the framework of quantum mechanics based on pseudo-hermitian Hamiltonians. These quantized 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.
1993 ◽
Vol 08
(28)
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pp. 2657-2670
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2007 ◽
Vol 22
(35)
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pp. 2675-2687
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2020 ◽
Vol 35
(32)
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pp. 2050208
1995 ◽
Vol 93
(5)
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pp. 949-960
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1996 ◽
Vol 11
(19)
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pp. 1563-1567
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