Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition (Q2232087)
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| Language | Label | Description | Also known as |
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| English | Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition |
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Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition (English)
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4 October 2021
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The paper under review deals with the half-line Neumann problem for the equation \[-y''+ x^2 y + q(x) y = \lambda y\] under some smoothness and integrability conditions on \(q\). The authors consider the inverse problem of recovering this boundary value problem by its spectrum and norming constants. They obtain a Gelfand-Levitan-Marchenko-type integral equation, prove its unique solvability, and indicate a constructive algorithm for recovering \(q\).
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anharmonic oscillator
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Schrödinger equation
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transformation operator
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spectral data
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inverse spectral problem
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