Horadam Spinors
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this s...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6671745 |
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| _version_ | 1832559513992953856 |
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| author | Tülay Erişir |
| author_facet | Tülay Erişir |
| author_sort | Tülay Erişir |
| collection | DOAJ |
| description | Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences. |
| format | Article |
| id | doaj-art-cc9126244fd34c7bb454e4ab1e1db355 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cc9126244fd34c7bb454e4ab1e1db3552025-02-03T01:29:50ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6671745Horadam SpinorsTülay Erişir0Erzincan Binali Yıldırım UniversitySpinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.http://dx.doi.org/10.1155/2024/6671745 |
| spellingShingle | Tülay Erişir Horadam Spinors Journal of Mathematics |
| title | Horadam Spinors |
| title_full | Horadam Spinors |
| title_fullStr | Horadam Spinors |
| title_full_unstemmed | Horadam Spinors |
| title_short | Horadam Spinors |
| title_sort | horadam spinors |
| url | http://dx.doi.org/10.1155/2024/6671745 |
| work_keys_str_mv | AT tulayerisir horadamspinors |