On the eigenfunctions of the one-dimensional Schrödinger operator with a polynomial potential

DOI10.1134/S1064562415020179zbMath1480.34114OpenAlexW803377406MaRDI QIDQ492724

Andrey E. Mironov, B. T. Saparbayeva

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415020179

zbMATH Keywords

eigenfunctionsone-dimensional Schrödinger operatorpolynomial potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

Commuting Krichever-Novikov differential operators with polynomial coefficients

Cites Work

• Self-adjoint commuting ordinary differential operators
• Commuting rank 2 differential operators corresponding to a curve of genus 2
• On self-adjoint commuting differential operators of rank two
• Integration of nonlinear equations by the methods of algebraic geometry
• Explicit continued fractions and quantum gravity
• On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory
• Commuting higher rank ordinary differential operators
• HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
• COMMUTING DIFFERENTIAL OPERATORS OF RANK 3, AND NONLINEAR DIFFERENTIAL EQUATIONS
• Poles of integrále tritronquée and anharmonic oscillators. A WKB approach
• Sur les algèbres de Weyl

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