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math-ph2019★ 5 cited
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…
math-ph2019
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 (…