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

DOI10.1016/j.aop.2009.06.005zbMath1179.81085arXiv0904.2768OpenAlexW3104136712MaRDI QIDQ1047693

Mikhail S. Plyushchay, Gerald V. Dunne, Francisco Julio Sobreira de Araujo Correa

Publication date: 5 January 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2768

zbMATH Keywords

integrable systemssupersymmetric quantum mechanicsnonlinear symmetriesBogoliubov/de Gennes system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Supersymmetry and quantum mechanics (81Q60)

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