Schrödinger equation with potential function vanishing exponentially fast
Explicitly oscillating solutions of differential equation \[ y''+\left(\lambda+20\,{\rm sech}^{2}x\right)y=0\] and its eigenpairs are obtained by calculating complex residues. Eigenpairs, spectral function and eigenfunction expansions are also reported for this specific Pöschl–Teller diffe...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://dx.doi.org/10.1080/16583655.2019.1616905 |