88 citations · 123 across the 16 of their papers we have counts for
17 papers
From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves
Juan Jose Morales-Ruiz, Jean Pierre Ramis, Maria-Angeles Zurro
We provide a spectral geometric description of the KdV variational equation around cnoidal waves in terms of two interacting spectral curves.
Semiclassical CEV Option Pricing Model: an Analytical Approach
Jose A. Capitán, Jose Lope-Alba, Juan J. Morales-Ruiz
This paper is devoted to obtain closed form solutions for the semiclassical (or WKB) approximation of the heat kernel propagator of the diffusion equation defined by the constant e…
A note on the geodesic deviation equation for null geodesics in the Schwarzschild black-hole
Juan J. Morales-Ruiz, Álvaro P. Raposo
We use the Hamiltonian formulation of the geodesic equation in the Schwarzschild space-time so as to get the variational equation as the counterpart of the Jacobi equation in this…
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach
P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz +1
In this work we explain the relevance of the Differential Galois Theory in the semiclassical (or WKB) quantification of some two degree of freedom potentials. The key point is that…
Non-integrability of the axisymmetric Bianchi IX cosmological model via Differential Galois Theory
Primitivo Acosta-Humánez, Juan J. Morales-Ruiz, Teresinha J. Stuchi
We investigate the integrability of an anisotropic universe with matter and cosmological constant formulated as Bianchi IX models. The presence of the cosmological constant causes…
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…