11 citations · 24 across the 6 of their papers we have counts for
6 papers
On the general family of third-order shape-invariant Hamiltonians related to generalized Hermite polynomials
Ian Marquette, Kevin Zelaya
This work reports and classifies the most general construction of rational quantum potentials in terms of the generalized Hermite polynomials. This is achieved by exploiting the in…
Two-mode squeezed state quantisation and semiclassical portraits
Jean-Pierre Gazeau, Véronique Hussin, James Moran +1
Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical funct…
Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians
Kevin Zelaya, Ian Marquette, Véronique Hussin
In this work, we introduce a new realization of exactly-solvable time-dependent Hamiltonians based on the solutions of the fourth Painlevé and the Ermakov equations. The latter is…
Point transformations: exact solutions of the quantum time-dependent mass nonstationary oscillator
Kevin Zelaya, Véronique Hussin
In this note we address the exact solutions of a time-dependent Hamiltonian composed by an oscillator-like interaction with both a frequency and a mass term that depend on time. Th…
Nonstationary deformed singular oscillator: quantum invariants and the factorization method
Kevin Zelaya
New families of time-dependent potentials related with the stationary singular oscillator are introduced. This is achieved after noticing that a non stationary quantum invariant ca…
Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method
Kevin Zelaya, Véronique Hussin
New families of time-dependent potentials related to the parametric oscillator are introduced. This is achieved by introducing some general time-dependent operators that factorize…