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Your search keyword '"Ojeda-Guillén, D."' showing total 2 results
2 results on '"Ojeda-Guillén, D."'

1. The number radial coherent states for the generalized MICZ-Kepler problem.

Author

Salazar-Ramírez, M., Ojeda-Guillén, D., and Mota, R. D.

Subjects
*NUMBER theory, *COHERENT states, *KEPLER problem, *LIE algebras, *MATHEMATICAL transformations
Abstract

We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the su(1,1) Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the su(1,1) theory of unitary representations and the tilting transformation to the stationary Schrödinger equation. We construct the physical Perelomov number coherent states for this problem and compute some expectation values. Also, we obtain the time evolution of these coherent states. [ABSTRACT FROM AUTHOR]

Published
2016
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2. The SU(1, 1) Perelomov number coherent states and the non-degenerate parametric amplifier.

Author

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

Subjects
*COHERENT states, *NUMBER theory, *PARAMETRIC amplifiers, *HARMONIC oscillators, *EIGENFUNCTIONS, *GROUP theory, *LIE algebras, *OPERATOR theory
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2014
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