Sigma functions and Lie algebras of Schrödinger operators

DOI10.1134/S0016266320040012zbMath1471.35104arXiv2007.08966OpenAlexW3167390582MaRDI QIDQ2038433

Victor M. Buchstaber, Elena Yu. Bunkova

Publication date: 7 July 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08966

zbMATH Keywords

Schrödinger operatordifferentiation of abelian functions with respect to parameterspolynomial Lie algebra

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Hyperelliptic sigma functions and Adler-Moser polynomials ⋮ The Mumford dynamical system and hyperelliptic Kleinian functions ⋮ Explicit formulas for differentiation of hyperelliptic functions

Cites Work

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• Polynomial dynamical systems and the Korteweg-de Vries equation
• Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves
• Characterization of Jacobian varieties in terms of soliton equations
• Tata lectures on theta. III
• Differentiation of genus 3 hyperelliptic functions
• Polynomial Lie algebras
• Lie algebras of heat operators in a nonholonomic frame
• Heat equations in a nonholomic frame
• Differentiation of Abelian functions with respect to parameters

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