On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential

DOI10.1007/BF03321817zbMath1280.34090arXiv1011.5833OpenAlexW2046074429MaRDI QIDQ428943

Andrei Gabrielov, Per Alexandersson

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5833

zbMATH Keywords

Schrödinger operatorNevanlinna functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (3)

On Evgrafov-Fedoryuk's theory and quadratic differentials ⋮ On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential ⋮ Level crossing in random matrices: I. Random perturbation of a fixed matrix

Cites Work

• Analytic continuation of eigenvalues of a quartic oscillator
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Über Riemannsche Flächen mit endlich vielen Windungspunkten
• On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential
• A Multiparameter Eigenvalue Problem in the Complex Plane
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