14 citations · 69 across the 20 of their papers we have counts for
20 papers
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…
Supersymmetric Quantum Mechanics: two factorization schemes, and quasi-exactly solvable potentials
J. Socorro, Marco A Reyes, Carlos Villaseñor Mora
We present the general ideas on SuperSymmetric Quantum Mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bos…
Supersymmetric features of the Error and Dawson's functions
Marco A. Reyes, Rafael Arcos-Olalla
Following a letter by Bassett, we show first that it is possible to find an analytical approximation to the error function in terms of a finite series of hyperbolic tangents from t…
Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations
M. A. Reyes, D. Gutierrez-Ruiz, S. C. Mancas +1
We present an approach to the bright soliton solution of the NLS equation from the standpoint of introducing a constant potential term in the equation. We discuss a `nongauge' brig…
A note on the FKPP equation approached with the hyperbolic scaling
M. A. Reyes, H. C. Rosu
We consider the hyperbolic scaling of the FKPP equation and introduce two solutions of the action functional type in the limit of zero hyperbolic parameter. Furthermore, we show th…
Factorization procedure and new generalized Hermite functions
Marco A. Reyes, M. Ranferi Gutierrez
We propose an alternative factorization for the simple harmonic oscillator hamiltonian which includes Mielnik's isospectral factorization as a particular case. This factorization i…