Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential
We have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunctions are obtained in terms of the hypergeometric functions. Results a...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/952597 |
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| author | Sanjib Meyur Smarajit Maji S. Debnath |
| author_facet | Sanjib Meyur Smarajit Maji S. Debnath |
| author_sort | Sanjib Meyur |
| collection | DOAJ |
| description | We have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunctions are obtained in terms of the hypergeometric functions. Results are also given for the special case of potential parameter. |
| format | Article |
| id | doaj-art-e0d5d41fa71d4f7881f8da5ed14593fc |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-e0d5d41fa71d4f7881f8da5ed14593fc2025-02-03T01:21:53ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/952597952597Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas PotentialSanjib Meyur0Smarajit Maji1S. Debnath2Department of Mathematics, Jadavpur University, Kolkata 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata 700032, IndiaWe have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunctions are obtained in terms of the hypergeometric functions. Results are also given for the special case of potential parameter.http://dx.doi.org/10.1155/2014/952597 |
| spellingShingle | Sanjib Meyur Smarajit Maji S. Debnath Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential Advances in High Energy Physics |
| title | Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential |
| title_full | Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential |
| title_fullStr | Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential |
| title_full_unstemmed | Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential |
| title_short | Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential |
| title_sort | analytical solution of the schrodinger equation with spatially varying effective mass for generalised hylleraas potential |
| url | http://dx.doi.org/10.1155/2014/952597 |
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