42 citations · 58 across the 2 of their papers we have counts for
3 papers
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…
quant-ph2016
Optimized Binomial Quantum States of Complex Oscillators with Real Spectrum
Kevin D. Zelaya, Oscar Rosas-Ortiz
Classical and nonclassical states of quantum complex oscillators with real spectrum are presented. Such states are bi-orthonormal superpositions of energy eigenvectors of the…