The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry |
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| Authors: | Francisco Correa Mikhail S Plyushchay |
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| Institution: | a Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile
b Physics Department, University of Connecticut, Storrs, CT 06269, USA |
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| Abstract: | 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, and that this provides the natural mathematical framework for a hidden nonlinear quantum mechanical supersymmetry underlying the dynamics. |
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| Keywords: | Bogoliubov/de Gennes system Supersymmetric quantum mechanics Nonlinear symmetries Integrable systems |
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