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arXiv · 0904.2768

The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry

Francisco Correa·Gerald V. Dunne·Mikhail S. Plyushchay
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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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Francisco Correa, Gerald V. Dunne, Mikhail S. Plyushchay. 2009-11-10. The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry. https://doi.org/10.1016/j.aop.2009.06.005

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