A New Translation Operator by Covariant Derivative in the Generalized Space
In this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation. We have introduced a new translation operator in which its generator is exactly c...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/1624476 |
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| _version_ | 1832569129399222272 |
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| author | Mehdi Jafari Matehkolaee Houshyar Noshad |
| author_facet | Mehdi Jafari Matehkolaee Houshyar Noshad |
| author_sort | Mehdi Jafari Matehkolaee |
| collection | DOAJ |
| description | In this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation. We have introduced a new translation operator in which its generator is exactly covariant derivative. To know the translation of a quantum particle around a space where the effect of gravity is significant, such as a black hole, it is enough to put the metric of that space in the translation derived in this paper. |
| format | Article |
| id | doaj-art-7d9103bad2b3428b95aa81d0db6bcc83 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7d9103bad2b3428b95aa81d0db6bcc832025-02-02T23:14:33ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/1624476A New Translation Operator by Covariant Derivative in the Generalized SpaceMehdi Jafari Matehkolaee0Houshyar Noshad1Department of Physics and Energy EngineeringDepartment of Physics and Energy EngineeringIn this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation. We have introduced a new translation operator in which its generator is exactly covariant derivative. To know the translation of a quantum particle around a space where the effect of gravity is significant, such as a black hole, it is enough to put the metric of that space in the translation derived in this paper.http://dx.doi.org/10.1155/2024/1624476 |
| spellingShingle | Mehdi Jafari Matehkolaee Houshyar Noshad A New Translation Operator by Covariant Derivative in the Generalized Space Advances in Mathematical Physics |
| title | A New Translation Operator by Covariant Derivative in the Generalized Space |
| title_full | A New Translation Operator by Covariant Derivative in the Generalized Space |
| title_fullStr | A New Translation Operator by Covariant Derivative in the Generalized Space |
| title_full_unstemmed | A New Translation Operator by Covariant Derivative in the Generalized Space |
| title_short | A New Translation Operator by Covariant Derivative in the Generalized Space |
| title_sort | new translation operator by covariant derivative in the generalized space |
| url | http://dx.doi.org/10.1155/2024/1624476 |
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