A Lax pair for the characteristic equations of averaged multi-particle operators

DOI10.1007/BF02674208zbMath1026.82002OpenAlexW2095369616MaRDI QIDQ1582841

V. P. Maslov, Artur E. Ruuge

Publication date: 13 May 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674208

zbMATH Keywords

Schrödinger operatormany-particle systemLiouville operatorBogolyubov's variational principlefermion averaged operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Classical equilibrium statistical mechanics (general) (82B05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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