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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 1, Pages 80–98
DOI: https://doi.org/10.4213/tmf3833 (Mi tmf3833) 		 
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
Full-text PDF (419 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf3833
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
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 1, Pages 1366–1381
DOI: https://doi.org/10.1007/s11232-006-0125-2
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v149/i1/p80
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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