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Effective perturbation methods for one-dimensional Schrödinger operators - MaRDI portal

Effective perturbation methods for one-dimensional Schrödinger operators (Q1283960)

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scientific article; zbMATH DE number 1271350
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Effective perturbation methods for one-dimensional Schrödinger operators
scientific article; zbMATH DE number 1271350

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    Effective perturbation methods for one-dimensional Schrödinger operators (English)
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    23 September 1999
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    Starting from the equation \[ -y_0''y=Ey, \] and using the perturbation technique, the authors study properties of solutions and the spectrum of the equation \[ -u''(V_0)u=Eu, \] where \(V\) is small at infinity in some sense. The discrete analogies \[ u(n)(n)(V_0)u(n)=Eu(n) \] are considered.
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    Sturm-Liouville operator
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    perturbation methods
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    spectrum
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