The Propagators for δ and δ′ Potentials With Time-Dependent Strengths
We study the time-dependent Schrödinger equation with finite number of Dirac δ and δ′ potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2020-04-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2020.00065/full |
| _version_ | 1828766175587205120 |
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| author | Fatih Erman Manuel Gadella Haydar Uncu |
| author_facet | Fatih Erman Manuel Gadella Haydar Uncu |
| author_sort | Fatih Erman |
| collection | DOAJ |
| description | We study the time-dependent Schrödinger equation with finite number of Dirac δ and δ′ potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for finitely many delta potentials. Finally, we investigate the solution of time dependent Schrödinger equation for δ′ potential with particular forms of the strengths. |
| first_indexed | 2024-12-11T07:00:29Z |
| format | Article |
| id | doaj.art-cdfeafe9c2394f1f9541fbef392e6982 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-11T07:00:29Z |
| publishDate | 2020-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-cdfeafe9c2394f1f9541fbef392e69822022-12-22T01:16:38ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-04-01810.3389/fphy.2020.00065457340The Propagators for δ and δ′ Potentials With Time-Dependent StrengthsFatih Erman0Manuel Gadella1Haydar Uncu2Department of Mathematics, İzmir Institute of Technology, İzmir, TurkeyDepartamento de Física Teórica, Atómica y Óptica and IMUVA, Universidad de Valladolid, Valladolid, SpainDepartment of Physics, Adnan Menderes University, Aydın, TurkeyWe study the time-dependent Schrödinger equation with finite number of Dirac δ and δ′ potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for finitely many delta potentials. Finally, we investigate the solution of time dependent Schrödinger equation for δ′ potential with particular forms of the strengths.https://www.frontiersin.org/article/10.3389/fphy.2020.00065/fullpropagatordelta potentialsdelta prime potentialsGreen's functiontime dependent Schrödinger equation |
| spellingShingle | Fatih Erman Manuel Gadella Haydar Uncu The Propagators for δ and δ′ Potentials With Time-Dependent Strengths Frontiers in Physics propagator delta potentials delta prime potentials Green's function time dependent Schrödinger equation |
| title | The Propagators for δ and δ′ Potentials With Time-Dependent Strengths |
| title_full | The Propagators for δ and δ′ Potentials With Time-Dependent Strengths |
| title_fullStr | The Propagators for δ and δ′ Potentials With Time-Dependent Strengths |
| title_full_unstemmed | The Propagators for δ and δ′ Potentials With Time-Dependent Strengths |
| title_short | The Propagators for δ and δ′ Potentials With Time-Dependent Strengths |
| title_sort | propagators for δ and δ potentials with time dependent strengths |
| topic | propagator delta potentials delta prime potentials Green's function time dependent Schrödinger equation |
| url | https://www.frontiersin.org/article/10.3389/fphy.2020.00065/full |
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