Isospectral problem: interplay between Liouville equations, Darboux transforms and McKean-Trubowitz flows

DOI10.1088/0305-4470/31/46/019zbMath0948.37049OpenAlexW2047922500MaRDI QIDQ3836108

V. G. Korolev

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/46/019

zbMATH Keywords

Schrödinger operatorLiouville equationsDarboux transforms

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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