On eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials
classification
🧮 math-ph
math.MPmath.SPnlin.SI
keywords
eigenfunctionsone-dimensionaloperatorpolynomialpotentialsschrodingercommutingconnection
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In this paper we point out an connection between eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials of degree 3, 4 and eigenfunctions of rank two commuting ordinary differential operators.
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