Articles with "noncommutative complex" as a keyword



q-coherent states associated with the noncommutative complex plane Cq2 for the Biedenharn–Macfarlane q-oscillator

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Published in 2017 at "Annals of Physics"

DOI: 10.1016/j.aop.2017.09.012

Abstract: Abstract The q -coherent states associated with the noncommutative complex plane C q 2 for the Biedenharn–Macfarlane q -oscillator are constructed by using a q -generalization of the Glauber’s unitary displacement operator. The q -deformed… read more here.

Keywords: noncommutative complex; oscillator; complex plane; associated noncommutative ... See more keywords

Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties

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Published in 2017 at "International Journal of Geometric Methods in Modern Physics"

DOI: 10.1142/s0219887817500608

Abstract: The normalized even and odd q-cat states corresponding to Arik–Coon q-oscillator on the noncommutative complex plane ℂq−1 are constructed as the eigenstates of the lowering operator of a q-deformed su(1, 1) algebra with the left… read more here.

Keywords: even odd; coon oscillator; cat states; arik coon ... See more keywords