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Moser, Jürgen

Integrable Hamiltonian systems and spectral theory. (English) Zbl 0527.70022

Lezioni Fermiane. Pisa: Accademia Nazionale dei Lincei. Scuola Normale Superiore. 84 p. (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0527.70022

Cited in 1 Review
Cited in 26 Documents

MSC:

70H20 Hamilton-Jacobi equations in mechanics
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35R30 Inverse problems for PDEs

Keywords:

connection of geodesic flow on n-dimensional ellipsoid to inverse spectral theory of the one-dimensional Schrödinger equation; periodic or almost periodic potentials; prescribed finite band spectra; Neumanns problem; isospectral deformations; substitute for Floquet theory; relation of Floquet multiplier to Christoffel-Schwarz map; Bargmann potentials

Citations:

Zbl 0319.34024; Zbl 0497.35026
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