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This article is cited in 5 scientific papers (total in 5 papers)
Quaternionic vector coherent states and the supersymmetric harmonic oscillator
K. Thirulogasanthara, A. Krzyzaka, Q. D. Katatbehb a Concordia University, Department of Computer Science
b Jordan University of Science and Technology
Abstract:
The quaternionic vector coherent states are realized as coherent states of
the supersymmetric harmonic oscillator with broken symmetry in analogy with
the standard canonical coherent states of the ordinary harmonic oscillator.
We study the nonclassical properties of the oscillator, such as the photon
number distribution and signal-to-quantum-noise ratio in terms of these
states and discuss the squeezing properties and the temporal stability
of the coherent states. We obtain the orthogonal polynomials associated
with the quaternionic vector coherent states.
Keywords:
coherent state, vector coherent state.
Received: 09.01.2006
Citation:
K. Thirulogasanthar, A. Krzyzak, Q. D. Katatbeh, “Quaternionic vector coherent states and the supersymmetric harmonic oscillator”, TMF, 149:1 (2006), 80–98; Theoret. and Math. Phys., 149:1 (2006), 1366–1381
Linking options:
https://www.mathnet.ru/eng/tmf3833https://doi.org/10.4213/tmf3833 https://www.mathnet.ru/eng/tmf/v149/i1/p80
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Abstract page: | 459 | Full-text PDF : | 236 | References: | 59 | First page: | 1 |
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