Application of the Asymptotic Taylor Expansion Method to Bistable Potentials
A recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor series gives a best possible analytical expre...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/239254 |
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| _version_ | 1850229133653573632 |
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| author | Okan Ozer Halide Koklu Serap Resitoglu |
| author_facet | Okan Ozer Halide Koklu Serap Resitoglu |
| author_sort | Okan Ozer |
| collection | DOAJ |
| description | A recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor series gives a best possible analytical expression for eigenfunctions and numerical results for eigenvalues. It is shown that the results are obtained by a simple algorithm constructed for a computer system using symbolic or numerical calculation. It is observed that ATEM produces excellent results consistent with the existing literature. |
| format | Article |
| id | doaj-art-27be3af2bacc4da880c56dbc1992750a |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-27be3af2bacc4da880c56dbc1992750a2025-08-20T02:04:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/239254239254Application of the Asymptotic Taylor Expansion Method to Bistable PotentialsOkan Ozer0Halide Koklu1Serap Resitoglu2Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, TurkeyDepartment of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, TurkeyDepartment of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, TurkeyA recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor series gives a best possible analytical expression for eigenfunctions and numerical results for eigenvalues. It is shown that the results are obtained by a simple algorithm constructed for a computer system using symbolic or numerical calculation. It is observed that ATEM produces excellent results consistent with the existing literature.http://dx.doi.org/10.1155/2013/239254 |
| spellingShingle | Okan Ozer Halide Koklu Serap Resitoglu Application of the Asymptotic Taylor Expansion Method to Bistable Potentials Advances in Mathematical Physics |
| title | Application of the Asymptotic Taylor Expansion Method to Bistable Potentials |
| title_full | Application of the Asymptotic Taylor Expansion Method to Bistable Potentials |
| title_fullStr | Application of the Asymptotic Taylor Expansion Method to Bistable Potentials |
| title_full_unstemmed | Application of the Asymptotic Taylor Expansion Method to Bistable Potentials |
| title_short | Application of the Asymptotic Taylor Expansion Method to Bistable Potentials |
| title_sort | application of the asymptotic taylor expansion method to bistable potentials |
| url | http://dx.doi.org/10.1155/2013/239254 |
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