12 citations · 46 across the 6 of their papers we have counts for
6 papers
On the supersymmetry of the Dirac-Kepler problem plus a Coulomb-type scalar potential in D+1 dimensions and the generalized Lippmann-Johnson operator
D. Martinez, M. Salazar-Ramirez, R. D. Mota +1
We study the Dirac-Kepler problem plus a Coulomb-type scalar potential by generalizing the Lippmann-Johnson operator to D spatial dimensions. From this operator, we construct the s…
The su(1,1) Dynamical Algebra for the Generalized MICZ-Kepler Problem from the Schrödinger Factorization
M. Salazar-Ramirez, D. Martinez, V. D. Granados R. D. Mota
We apply the Schrödinger factorization to construct the generators of the dynamical algebra for the radial equation of the generalized MICZ-Kepler problem.
The su(1,1) dynamical algebra from the Schrödinger ladder operators for N-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
D. Martinez, J. C. Flores-Urbina, R. D. Mota +1
We apply the Schrödinger factorization to construct the ladder operators for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dime…
SU(2) Symmetry and Degeneracy From SUSY QM of a Neutron in the Magnetic Field of a Linear Current
D. Martinez, V. D. Granados, R. D. Mota
From SUSY ladder operators in momentum space of a neutron in the magnetic field of a linear current, we construct matrix operators that together with the z-component of…
SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems
D Martinez, R D Mota
We show in a systematic and clear way how factorization methods can be used to construct the generators for hidden and dynamical symmetries. This is shown by studying the 2D proble…
Asymptotic Spectral Measures, Quantum Mechanics, and E-theory
Diane Martinez, Jody Trout
We study the relationship between POV-measures in quantum theory and asymptotic morphisms in the operator algebra E-theory of Connes-Higson. This is done by introducing the theory…