On the exact WKB analysis of higher order simple-pole type operators

DOI10.1016/j.aim.2011.05.010zbMath1231.34155OpenAlexW2064390734MaRDI QIDQ635483

Tatsuya Koike, Yoshitsugu Takei, Takahiro Kawai

Publication date: 19 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.aim.2011.05.010

zbMATH Keywords

exact WKB analysissimple-pole type operators

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (3)

An asymptotic expansion of eigenpolynomials for a class of linear differential operators ⋮ Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation ⋮ On the singularity structure of WKB solution of the boosted Whittaker equation: its relevance to resurgent functions with essential singularities

Cites Work

• On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point
• On the exact WKB analysis of operators admitting infinitely many phases.
• On the exact WKB analysis of second order linear ordinary differential equations with simple poles
• On the Structure of Higher Order Simple-Pole Type Operators in Exact WKB Analysis
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