scientific article; zbMATH DE number 1126909

zbMath0922.35141arXivmath-ph/0003008MaRDI QIDQ4380000

S. P. Novikov, Alexander P. Veselov

Publication date: 13 September 1999

Full work available at URL: https://arxiv.org/abs/math-ph/0003008

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zbMATH Keywords

Toda latticesoliton equationsBloch statesFermi curve

Mathematics Subject Classification ID

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) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jacobians, Prym varieties (14H40)

Related Items (8)

Cyclic Darboux $q$-chains ⋮ Solutions of two-dimensional Schrödinger-type equations in a magnetic field ⋮ On the Moutard transformation and its applications to spectral theory and soliton equations ⋮ Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields ⋮ New classes of second order difference equations solvable by factorization method ⋮ Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles ⋮ Two-dimensional rational solitons and their blowup via the Moutard transformation ⋮ Differential transformations of parabolic second-order operators in the plane

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