Geodesic
Quaternionic vector coherent states and the supersymmetric harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 80-98 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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K. Thirulogasanthar; A. Krzyzak; Q. D. Katatbeh. Quaternionic vector coherent states and the supersymmetric harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 80-98. http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a6/

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