Galoisian approach to integrability of Schrödinger equation PB Acosta-Humánez, JJ Morales-Ruiz, JA Weil Reports on Mathematical Physics 67 (3), 305-374, 2011 | 81 | 2011 |
Non-integrability of some hamiltonians with rational potentials P Acosta-Humánez, D Blázquez-Sanz Discrete and Continuous Dynamical Systems - Series B (DCDS-B) 10 (2&3), 265-293, 2008 | 64 | 2008 |
Galoisian Approach to Supersymmetric Quantum Mechanics: The integrability analysis of the Schrödinger equation by means of differential Galois theory PB Acosta-Humánez VDM Verlag Dr Mueller Publishing, 2010 | 62* | 2010 |
Nonautonomous Hamiltonian Systems and Morales-Ramis Theory I. The Case PB Acosta-Humánez SIAM J. Appl. Dyn. Syst. 8 (1), 279-297, 2009 | 34 | 2009 |
On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory PB Acosta-Humánez, JT Lázaro, JJ Morales-Ruiz, C Pantazi DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 35 (5), 1767-1800, 2015 | 33* | 2015 |
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory PB Acosta-Humanez, JT Lázaro-Ochoa, JJ Morales-Ruiz Preprint: http://arxiv. org/abs/1012.4796, 2012 | 33 | 2012 |
Differential Galois theory and non-integrability of planar polynomial vector fields PB Acosta-Humánez, JT Lázaro, JJ Morales-Ruiz, C Pantazi Journal of Differential Equations 264 (12), 7183-7212, 2018 | 26 | 2018 |
Liouvillian Propagators, Riccati Equation and Differential Galois Theory PB Acosta-Humánez, E Suazo Journal of Physics A: Mathematical and Theoretical 46 (45), 455203,, 2013 | 25 | 2013 |
Non-integrability of some few body problems in two degrees of freedom PB Acosta-Humánez, M Álvarez-Ramírez, J Delgado Qualitative theory of dynamical systems 8 (2), 209-239, 2009 | 25 | 2009 |
Non-integrability Criterium for Normal Variational Equations around an integrable Subsystem and an example: The Wilbeforce spring-pendulum PB Acosta-Humánez, M Alvarez-Ramírez, D Blázquez-Sanz, J Delgado Discrete and Continuous Dynamical Systems - Series A (DCDS-A) 33 (3), 965 - 986, 2013 | 24 | 2013 |
Darboux Integrals for Schr\"odinger Planar Vector Fields via Darboux Transformations PB Acosta-Humánez, C Pantazi Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 8 …, 2012 | 22 | 2012 |
La teoría de Morales-Ramis y el algoritmo de Kovacic PB Acosta Humánez | 22 | 2006 |
Nonintegrability of the Armbruster--Guckenheimer--Kim Quartic Hamiltonian Through Morales--Ramis Theory P Acosta-Humánez, M Alvarez-Ramirez, TJ Stuchi SIAM Journal on Applied Dynamical Systems 17 (1), 78-96, 2018 | 19 | 2018 |
Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances PB Acosta-Humanez, SI Kryuchkov, E Suazo, SK Suslov Journal of Nonlinear Optical Physics & Materials 24 (2), 27pp, 2015 | 16 | 2015 |
On Pasting and Reversing operations over some rings PB Acosta-Humanez, AL Chuquen, AM Rodriguez Boletín de Matemáticas 17 (2), 143-164, 2010 | 16 | 2010 |
Análisis de componentes principales aplicado a la prueba estatal Colombiana Saber 11 RR RUIZ ESCORCIA, JB ARÉVALO MEDRANO, GP MORILLO, ... Revista Espacios 39 (10), 1-12, 2018 | 15 | 2018 |
On Hamiltonian potentials with quartic polynomial normal variational equations PB Acosta-Humanez, D Blazquez-Sanz, CV Contreras Nonlinear Studies The International Journal 16 (3), 299-314, 2009 | 15 | 2009 |
Frames of subspaces in Hilbert spaces with -metrics P Acosta-Humánez, K Esmeral, O Ferrer Analele Stiintifice ale Universitatii Ovidius Constanta 23 (2), 5-22, 2015 | 14 | 2015 |
Hamiltonian system and variational equations with polynomial coefficients PB Acosta-Humánez, D Blázquez-Sanz Dynamic systems and applications, Dynamic, Atlanta, GA 5, 6-10, 2008 | 12 | 2008 |
Una introducción a la Teoría de Galois diferencial PBA Humánez, JHP Alcázar Boletín de matemáticas 11 (2), 138-149, 2004 | 12 | 2004 |