Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces

DOI10.1088/0951-7715/10/1/015zbMath0906.35082OpenAlexW2072059442MaRDI QIDQ3841277

Jerrold E. Marsden, Mark S. Alber, Gregory G. Luther

Publication date: 16 August 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:ALBnonlin97

zbMATH Keywords

mechanical systemsevolution equationsconserved quantitiessemiclassical limitsBloch eigenfunctionsenergy-dependent Schrödinger operatorsHamiltonian systems on the moduli spaces of Riemann surfaceszero-dispersion limits

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamiltonian and Lagrangian mechanics (70H99)

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