Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map
We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140560 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734227141820416 |
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| author | Zaim, S. |
| author_facet | Zaim, S. |
| citation_txt | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten maps. We thus find the noncommutative modification of the energy levels and by comparing with the current experimental results on the Lamb shift of the 2P level to extract a bound on the parameter of noncommutativity, we show that the fundamental length (√Θ) is compatible with the value of the electroweak length scale (l). Phenomenologically, this effectively confirms the presence of gravity at this level.
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| first_indexed | 2025-12-07T19:41:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140560 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T19:41:35Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Zaim, S. 2018-07-10T16:16:52Z 2018-07-10T16:16:52Z 2016 Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. 1812-9471 DOI : doi.org/10.15407/mag12.04.359 Mathematics Subject Classification 2000: 81T80, 37K05, 81Q05 https://nasplib.isofts.kiev.ua/handle/123456789/140560 We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten maps. We thus find the noncommutative modification of the energy levels and by comparing with the current experimental results on the Lamb shift of the 2P level to extract a bound on the parameter of noncommutativity, we show that the fundamental length (√Θ) is compatible with the value of the electroweak length scale (l). Phenomenologically, this effectively confirms the presence of gravity at this level. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map Article published earlier |
| spellingShingle | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map Zaim, S. |
| title | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_full | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_fullStr | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_full_unstemmed | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_short | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_sort | noncommutative space-time of the relativistic equations with a coulomb potential using seiberg-witten map |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140560 |
| work_keys_str_mv | AT zaims noncommutativespacetimeoftherelativisticequationswithacoulombpotentialusingseibergwittenmap |