14 citations · 55 across the 13 of their papers we have counts for
13 papers
Electron-positron planar orbits in a constant magnetic field
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic fiel…
Equivalence between Type I Liouville dynamical systems in the plane and the sphere
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
Separable Hamiltonian systems either in sphero-conical coordinates on a sphere or in elliptic coordinates on a plane are described in an unified way. A back a…
On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
M. A. Gonzalez Leon, M. de la Torre Mayado, J. Mateos Guilarte +1
Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra…
One-loop fluctuations of semi-local self-dual vortices
A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado +1
Mass shifts induced by one-loop fluctuations of semi-local self-dual vortices are computed. The procedure is based on canonical quantization and heat kernel/ zeta function regulari…
Lectures on the mass of topological solitons
A. Alonso Izquierdo, W. Garcia Fuertes, M. A. Gonzalez Leon +3
In this series of lectures a method is developed to compute one-loop shifts to classical masses of kinks, multi-component kinks, and self-dual vortices. Canonical quantization is u…
From N=2 supersymmetric classical to quantum mechanics and back: the SUSY WKB approximation
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
Links between supersymmetric classical and quantum mechanics are explored. Diagrammatic representations for \hbar-expansions of norms of ground states are provided. The WKB spectra…