Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential
We study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions, and the allowed values of the potential parameters are obtained using two different methods, the Bethe ansatz method and the Lie algebraic...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2181532 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849683241773039616 |
|---|---|
| author | M. Baradaran H. Panahi |
| author_facet | M. Baradaran H. Panahi |
| author_sort | M. Baradaran |
| collection | DOAJ |
| description | We study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions, and the allowed values of the potential parameters are obtained using two different methods, the Bethe ansatz method and the Lie algebraic approach. Some numerical results are reported and it is shown that the results are in good agreement with each other and with those obtained previously via a different method. |
| format | Article |
| id | doaj-art-c9cd35bc162a4518ad5c0776a64b9716 |
| institution | DOAJ |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-c9cd35bc162a4518ad5c0776a64b97162025-08-20T03:23:57ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/21815322181532Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well PotentialM. Baradaran0H. Panahi1Department of Physics, University of Guilan, Rasht 41635-1914, IranDepartment of Physics, University of Guilan, Rasht 41635-1914, IranWe study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions, and the allowed values of the potential parameters are obtained using two different methods, the Bethe ansatz method and the Lie algebraic approach. Some numerical results are reported and it is shown that the results are in good agreement with each other and with those obtained previously via a different method.http://dx.doi.org/10.1155/2017/2181532 |
| spellingShingle | M. Baradaran H. Panahi Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential Advances in High Energy Physics |
| title | Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential |
| title_full | Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential |
| title_fullStr | Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential |
| title_full_unstemmed | Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential |
| title_short | Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential |
| title_sort | lie symmetry and the bethe ansatz solution of a new quasi exactly solvable double well potential |
| url | http://dx.doi.org/10.1155/2017/2181532 |
| work_keys_str_mv | AT mbaradaran liesymmetryandthebetheansatzsolutionofanewquasiexactlysolvabledoublewellpotential AT hpanahi liesymmetryandthebetheansatzsolutionofanewquasiexactlysolvabledoublewellpotential |