Finite-gap potential, Heun's differential equation and WKB analysis

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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.
12 pages, An extended version of talk given at "Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations", RIMS, Kyoto, December 2006

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