The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
Apr, 2009
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Abstract: (arXiv)
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.- Bogoliubov/de Gennes system
- Supersymmetric quantum mechanics
- Nonlinear symmetries
- Integrable systems
- quantum mechanics: supersymmetry
- quantum mechanics: nonlinear
- hierarchy
- integrability
- mass spectrum
- numerical calculations
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