One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation

DOI10.1007/s10688-007-0020-0zbMath1168.34367OpenAlexW2052799809WikidataQ115383893 ScholiaQ115383893MaRDI QIDQ1002783

V. Yu. Strazdin, Vladimir S. Buslaev

Publication date: 26 February 2009

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

Full work available at URL: https://doi.org/10.1007/s10688-007-0020-0

zbMATH Keywords

spectral functionone-dimensional Schrödinger equationeigenfunctions of the Schrödinger equationFreud equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

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Cites Work

• Geometry of the string equations
• The isomonodromy approach to matrix models in 2D quantum gravity
• Ladder operators and differential equations for orthogonal polynomials