The SU(1, 1) perelomov number coherent states and the non-degenerate parametric amplifier

D. Ojeda-Guillén; R. D. Mota; V. D. Granados

doi:10.1063/1.4871445

The SU(1, 1) perelomov number coherent states and the non-degenerate parametric amplifier

D. Ojeda-Guillén, R. D. Mota, V. D. Granados

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

We construct the Perelomov number coherent states for an arbitrary su(1, 1) group operation and study some of their properties. We introduce three operators which act on Perelomov number coherent states and close the su(1, 1) Lie algebra. By using the tilting transformation we apply our results to obtain the energy spectrum and eigenfunctions of the non-degenerate parametric amplifier.We show that these eigenfunctions are the Perelomov number coherent states of the two-dimensional harmonic oscillator.

Idioma original	Inglés
Número de artículo	042109
Publicación	Journal of Mathematical Physics
Volumen	55
N.º	4
DOI	https://doi.org/10.1063/1.4871445
Estado	Publicada - 23 abr. 2014

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The SU(1, 1) perelomov number coherent states and the non-degenerate parametric amplifier

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