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Your search keyword '"Ojeda-Guillén, D."' showing total 2 results
Start Over Author "Ojeda-Guillén, D." Topic oscillations Journal journal of mathematical physics
2 results on '"Ojeda-Guillén, D."'

1. Retraction: "Algebraic approach to the Tavis–Cummings model with three modes of oscillation" [J. Math. Phys. 59, 073506 (2018)].

Author

Choreño, E., Ojeda-Guillén, D., and Granados, V. D.

Subjects
*MATHEMATICS, *OSCILLATIONS, *UNITARY transformations, *COUPLING constants
Abstract

In particular, the main problem of the Bogoliubov transformation comes when, with the parameters HT r ht and HT ht , one tries to verify if the transformation is unitary. In fact, if one computes the commutators between HT A 1, A 1† ht and HT A 2, A 2† ht , an expression similar to Eq. (3) is obtained. [Extracted from the article]

Published
2023
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2. Algebraic approach to the Tavis-Cummings model with three modes of oscillation.

Author

Choreño, E., Ojeda-Guillén, D., and Granados, V. D.

Subjects
*OSCILLATIONS, *MATHEMATICAL transformations, *DIFFERENTIAL algebra, *SPECTRUM analysis, *EIGENFUNCTIONS, *HAMILTONIAN systems
Abstract

We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilting transformation of the SU(1, 1) and SU(2) groups. The algebraic method based on the Bogoliubov transformation and the normal-mode operators lets us obtain the energy spectrum and eigenfunctions of a particular case of the Tavis-Cummings model, while with the tilting transformation we are able to solve the most general case of this Hamiltonian. Finally, we compute some expectation values of this problem by means of the SU(1, 1) and SU(2) group theory. [ABSTRACT FROM AUTHOR]

Published
2018
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