42 citations · 160 across the 10 of their papers we have counts for
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quant-ph2017★ 15 cited
Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras
Kevin Zelaya, Oscar Rosas-Ortiz, Zurika Blanco-Garcia +1
The purposes of this work are (1) to show that the appropriate generalizations of the oscillator algebra permit the construction of a wide set of nonlinear coherent states in unifi…
quant-ph2017★ 16 cited
Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations
Kevin Zelaya, Oscar Rosas-Ortiz
The stationary Schroedinger equation of the harmonic oscillator is deformed by a Darboux transformation to construct time-dependent potentials with the oscillator profile. The Darb…
quant-ph2017★ 42 cited
Bi-Orthogonal Approach to Non-Hermitian Hamiltonians with the Oscillator Spectrum: Generalized Coherent States for Nonlinear Algebras
Oscar Rosas-Ortiz, Kevin Zelaya
A set of Hamiltonians that are not self-adjoint but have the spectrum of the harmonic oscillator is studied. The eigenvectors of these operators and those of their Hermitian conjug…