84 citations · 1.3k across the 190 of their papers we have counts for
47 papers · 1 filter
Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart
E. Condori-Pozo, M. A. Reyes, H. C. Rosu
We solve the eigenvalue spectra for two quasi exactly solvable (QES) Schrödinger problems defined by the potentials $V(x;γ,η) = 4γ^{2}\cosh^{4}(x) + V_{1}(γ,η) \cosh^{2}(x) + η\lef…
Factorization of the Riesz-Feller fractional quantum harmonic oscillators
Haret C. Rosu, Stefan C. Mancas
Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romer…
Generalized Cornu-type spirals and their Darboux parametric deformations
H. C. Rosu, S. C. Mancas, C. C. Hsieh
We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also inv…
Comment on Demystifying the constancy of the Ermakov-Lewis invariant for a time-dependent oscillator
A. Gallegos, H. C. Rosu
We show that a simple modification of the Lagrangian proposed by Padmanabhan in the paper [Mod. Phys. Lett. A 33, 1830005 (2018), arXiv:1712.07328] leads to the most general dynami…
Stability analysis of orbital modes for a generalized Lane-Emden equation
Ronald Adams, Stefan C. Mancas, Haret C. Rosu
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some…
Riccati parametric deformations of the Cornu spiral
H C Rosu, S C Mancas, E. Flores-Garduno
A parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation related to the Fr…