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

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.06.005· OSTI ID:21336073

Correa, Francisco ^[1]; Dunne, Gerald V ^[2]

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1. Departamento de Fisica, Universidad de Santiago de Chile, Casilla 307, Santiago 2 (Chile)
2. Physics Department, University of Connecticut, Storrs, CT 06269 (United States)

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.

• OSTI ID: 21336073
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 12; Other Information: DOI: 10.1016/j.aop.2009.06.005; PII: S0003-4916(09)00122-5; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
GINZBURG-LANDAU THEORY
HAMILTONIANS
INTEGRAL CALCULUS
NONLINEAR PROBLEMS
QUANTUM MECHANICS
SUPERSYMMETRY