K
Kevin Zelaya
Researcher at Centre de Recherches Mathématiques
Publications - 45
Citations - 426
Kevin Zelaya is an academic researcher from Centre de Recherches Mathématiques. The author has contributed to research in topics: Coherent states & Quantum. The author has an hindex of 11, co-authored 37 publications receiving 334 citations. Previous affiliations of Kevin Zelaya include Université de Montréal & CINVESTAV.
Papers
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Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: Generalized coherent states for nonlinear algebras
Oscar Rosas-Ortiz,Kevin Zelaya +1 more
TL;DR: In this article, a set of Hamiltonians that are not self-adjoint but have the spectrum of the harmonic oscillator is studied and two different nonlinear algebras generated by properly constructed ladder operators are found and corresponding generalized coherent states are obtained.
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Generalized squeezed states
TL;DR: In this paper, a generalization of the Wigner function for generalized generalized squeezed states is proposed, which can be used to construct the squeezed states for any kind of quantum models.
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Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex-valued potentials with real energy spectrum
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Quantum nonstationary oscillators: Invariants, dynamical algebras and coherent states via point transformations
TL;DR: In this article, a consistent model of nonstationary quantum oscillators with time-dependent frequencies and zero point energy was developed, where the authors used the method of point transformations to construct the physical solutions of the parametric oscillator as mere deformations of the well known solution of the stationary oscillator.
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Interplay between Riccati, Ermakov and Schroedinger equations to produce complex-valued potentials with real energy spectrum
TL;DR: In this paper, the Riccati and Ermakov equations are combined to pair the energy spectrum of two different quantum systems via the Darboux method, where one system is assumed Hermitian, exactly solvable, with discrete energies in its spectrum and the other system is characterized by a complex-valued potential that inherits all the energies of the former one, and includes an additional real eigenvalue in its discrete spectrum.