Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well (Q2924881)
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scientific article; zbMATH DE number 6358476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well |
scientific article; zbMATH DE number 6358476 |
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Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well (English)
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20 October 2014
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nonl-ocal Schrödinger operator
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Cauchy oscillator
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Cauchy well
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spectral problems
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Strang method
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0.8959835
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0.89571404
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0.8923773
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0.8915947
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0.8897693
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0.8888428
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0.88679683
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The authors present the results of a computer-assisted route to obtain the eigenvalues and the eigenfunctions of the \(1D\) Cauchy-Schrödinger operator \(H=(-\Delta)^{1/2} + V\), \(V\) being a local potential. The Cauchy oscillator (which also has an analytical solution) and Cauchy finite well spectral problems are mainly envisaged. The algorithms employed are a non-local version of Strang's splitting method, which is based on Trotter product formula.
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