Finite-gap potential, Heun's differential equation and WKB analysis
Kouichi Takemura
TL;DR
This paper reviews the connections between finite-gap potentials, Heun's differential equation, and WKB analysis, highlighting their interrelations and recent results in these mathematical areas.
Contribution
It provides a comprehensive review of the relationships among finite-gap potentials, Heun's equation, and WKB analysis, emphasizing recent developments.
Findings
Summarizes key results on finite-gap potentials.
Discusses the relationship between Heun's equation and finite-gap potentials.
Explores the application of WKB analysis to these topics.
Abstract
We review several results on the finite-gap potential and Heun's differential equation, and we discuss relationships among the finite-gap potential, the WKB analysis and Heun's differential equation.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Nonlinear Waves and Solitons