The Green function of the discrete finite-gap one-energy two-dimensional Schrödinger operator on the quad graph

DOI10.1134/S0001434615070044zbMath1359.37138OpenAlexW1246826047MaRDI QIDQ887473

B. O. Vasilevskii

Publication date: 26 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615070044

zbMATH Keywords

Green functionwave functiondiscrete Schrödinger operatorRiemann sphereCauchy-Riemann equationsinteger sublatticequad graph

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Schrödinger operator, Schrödinger equation (35J10) Lattice dynamics; integrable lattice equations (37K60) Green's functions for elliptic equations (35J08) Partial difference equations (39A14)

Cites Work

• Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Theta functions on Riemann surfaces
• Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
• Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function
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