88 citations · 123 across the 16 of their papers we have counts for
3 papers · 1 filter
A Note on a Differential Galois Approach to Path Integrals
Juan J. Morales-Ruiz
We point out the relevance of the Differential Galois Theory of linear differential equations for the exact semiclassical computations in path integrals in quantum mechanics. The m…
Factorization of KdV Schrödinger operators using differential subresultants
Juan J. Morales-Ruiz, Sonia L. Rueda, Maria-Angeles Zurro
We address the classical factorization problem of a one dimensional Schrödinger operator , for a stationary potential of the KdV hierarchy but, in this occasio…
Integrability of Stochastic Birth-Death processes via Differential Galois Theory
Primitivo B. Acosta-Humanez, Jose A. Capitan, Juan J. Morales-Ruiz
Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (…