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 |
| _version_ | 1818037648331112448 |
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| author | Tanfer Tanriverdi |
| author_facet | Tanfer Tanriverdi |
| author_sort | Tanfer Tanriverdi |
| collection | DOAJ |
| description | 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 differential equation. |
| first_indexed | 2024-12-10T07:30:11Z |
| format | Article |
| id | doaj.art-f6e69f9dcdd840ce92b8cea16f388b30 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-10T07:30:11Z |
| publishDate | 2019-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-f6e69f9dcdd840ce92b8cea16f388b302022-12-22T01:57:36ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-0113163964310.1080/16583655.2019.16169051616905Schrödinger equation with potential function vanishing exponentially fastTanfer Tanriverdi0Harran University Faculty of Arts and SciencesExplicitly 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 differential equation.http://dx.doi.org/10.1080/16583655.2019.1616905schrödinger equationpöschl–teller potentialcomplex residuesexplicit solutioneigenpair |
| spellingShingle | Tanfer Tanriverdi Schrödinger equation with potential function vanishing exponentially fast Journal of Taibah University for Science schrödinger equation pöschl–teller potential complex residues explicit solution eigenpair |
| title | Schrödinger equation with potential function vanishing exponentially fast |
| title_full | Schrödinger equation with potential function vanishing exponentially fast |
| title_fullStr | Schrödinger equation with potential function vanishing exponentially fast |
| title_full_unstemmed | Schrödinger equation with potential function vanishing exponentially fast |
| title_short | Schrödinger equation with potential function vanishing exponentially fast |
| title_sort | schrodinger equation with potential function vanishing exponentially fast |
| topic | schrödinger equation pöschl–teller potential complex residues explicit solution eigenpair |
| url | http://dx.doi.org/10.1080/16583655.2019.1616905 |
| work_keys_str_mv | AT tanfertanriverdi schrodingerequationwithpotentialfunctionvanishingexponentiallyfast |