The su(1,1) Dynamical Algebra for the Generalized MICZ-Kepler Problem from the Schr\"odinger Factorization
M. Salazar-Ramirez, D. Martinez, V. D. Granados R. D. Mota
TL;DR
This paper uses Schr"odinger factorization to construct the $su(1,1)$ dynamical algebra for the generalized MICZ-Kepler problem's radial equation, providing a new algebraic approach to this quantum system.
Contribution
It introduces a novel application of Schr"odinger factorization to derive the $su(1,1)$ algebra for the generalized MICZ-Kepler problem.
Findings
Successfully constructs $su(1,1)$ algebra generators for the radial equation.
Provides an algebraic framework for analyzing the generalized MICZ-Kepler problem.
Enhances understanding of symmetries in quantum systems with magnetic monopoles.
Abstract
We apply the Schr\"odinger factorization to construct the generators of the dynamical algebra for the radial equation of the generalized MICZ-Kepler problem.
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