43 citations · 214 across the 16 of their papers we have counts for
5 papers · 1 filter
Orbits in the problem of two fixed centers on the sphere
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultane…
Elementary solutions of the quantum planar two center problem
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
The quantum problem of an electron moving in a plane under the field created by two Coulombian centers admits simple analytical solutions for some particular inter-center distances…
On the Quasi-Exact Solvability of the Confluent Heun Equation
M. A. Gonzalez Leon, J. Mateos Guilarte, A. Moreno Mosquera +1
It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the parameters to a particular class of Quasi-Exactly Solvable models, associated with the Lie…
Factorization of supersymmetric Hamiltonians in curvilinear coordinates
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
Planar supersymmetric quantum mechanical systems with separable spectral problem in curvilinear coordinates are analyzed in full generality. We explicitly construct the supersymmet…
Stability of Kink Defects in a Deformed O(3) Linear Sigma Model
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte
We identify the kinks of a deformed O(3) linear Sigma model as the solutions of a set of first-order systems of equations; the above model is a generalization of the MSTB model wit…