24 citations · 73 across the 9 of their papers we have counts for
9 papers
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…
Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
A. Alonso-Izquierdo, J. Mateos Guilarte, M. de la Torre Mayado
Spectral heat kernel/zeta function regularization procedures are employed in this paper to control the divergences arising from vacuum fluctuations of Bogomolnyi-Prasad-Sommerfield…
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…
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
Alberto Alonso-Izquierdo, Miguel Angel Gonzalez Leon, Juan Mateos Guilarte +1
The domain wall solutions of a Ginzburg-Landau non-linear -sigma hybrid model are unveiled. There are three types of basic topological walls and two types of degenerate famili…
Quantum fluctuations around low-dimensional topological defects
J. Mateos Guilarte, A. Alonso-Izquierdo, W. Garcia Fuertes +2
In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectra…
Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices
A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado +1
The mass shift induced by one-loop quantum fluctuations on self-dual ANO vortices is computed using heat kernel/generalized zeta function regularization methods. The quantum masses…
Supersymmetry versus Integrability in two-dimensional Classical Mechanics
A. Alonso Izquierdo, M. A. González León, J. Mateos Guilarte +1
Supersymmetric extensions of Hamilton-Jacobi separable Liouville mechanical systems with two degrees of freedom are defined. It is shown that supersymmetry can be implemented in th…