Non-periodic One-gap Potentials in Quantum Mechanics

DOI10.1007/978-3-319-63594-1_22zbMath1402.35266arXiv1505.05806OpenAlexW3135103472MaRDI QIDQ4556849

Dmitry V. Zakharov, Vladimir E. Zakharov

Publication date: 28 November 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05806

zbMATH Keywords

Schrödinger operatorRiemann-Hilbert problemKdV equationintegrable turbulence

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65) Nonlinear first-order PDEs (35F20) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in optimization and economics (37N40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

On solutions to the nonlocal \(\overline{\partial}\)-problem and (2+1) dimensional completely integrable systems, Generalized primitive potentials

Cites Work

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