On the Solution of the Schrödinger Equation with Position-Dependent Mass
We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with posi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/6/3/38 |
| _version_ | 1828346521026822144 |
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| author | Mehmet Sezgin |
| author_facet | Mehmet Sezgin |
| author_sort | Mehmet Sezgin |
| collection | DOAJ |
| description | We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given. |
| first_indexed | 2024-04-14T00:27:44Z |
| format | Article |
| id | doaj.art-beaa8b46e2d04f91845e15c0a6556a60 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-14T00:27:44Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-beaa8b46e2d04f91845e15c0a6556a602022-12-22T02:22:39ZengMDPI AGUniverse2218-19972020-03-01633810.3390/universe6030038universe6030038On the Solution of the Schrödinger Equation with Position-Dependent MassMehmet Sezgin0Department of Mathematics, Faculty of Science, Trakya University, 22030 Edirne, TurkeyWe have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given.https://www.mdpi.com/2218-1997/6/3/38lie groupcasimir operatorschrödinger equationdecomposition |
| spellingShingle | Mehmet Sezgin On the Solution of the Schrödinger Equation with Position-Dependent Mass Universe lie group casimir operator schrödinger equation decomposition |
| title | On the Solution of the Schrödinger Equation with Position-Dependent Mass |
| title_full | On the Solution of the Schrödinger Equation with Position-Dependent Mass |
| title_fullStr | On the Solution of the Schrödinger Equation with Position-Dependent Mass |
| title_full_unstemmed | On the Solution of the Schrödinger Equation with Position-Dependent Mass |
| title_short | On the Solution of the Schrödinger Equation with Position-Dependent Mass |
| title_sort | on the solution of the schrodinger equation with position dependent mass |
| topic | lie group casimir operator schrödinger equation decomposition |
| url | https://www.mdpi.com/2218-1997/6/3/38 |
| work_keys_str_mv | AT mehmetsezgin onthesolutionoftheschrodingerequationwithpositiondependentmass |