172 citations · 3.5k across the 115 of their papers we have counts for
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Hidden superconformal symmetry of spinless Aharonov-Bohm system
Francisco Correa, Horacio Falomir, Vit Jakubsky +1
A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a res…
The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
Francisco Correa, Gerald V. Dunne, Mikhail S. Plyushchay
We show that the Ginzburg-Landau expansion of the grand potential for the Bogoliubov-de Gennes Hamiltonian is determined by the integrable nonlinear equations of the AKNS hierarchy…
Super-extended noncommutative Landau problem and conformal symmetry
Pedro D. Alvarez, Jose L. Cortes, Peter A. Horvathy +1
A supersymmetric spin-1/2 particle in the noncommutative plane, subject to an arbitrary magnetic field, is considered, with particular attention paid to the homogeneous case. The s…