Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map
|
|
| Creator |
Zaim, S.
|
|
| 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.
|
|
| Date |
2018-07-10T16:16:52Z
2018-07-10T16:16:52Z 2016 |
|
| Type |
Article
|
|
| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/140560 |
|
| Language |
en
|
|
| Relation |
Журнал математической физики, анализа, геометрии
|
|
| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
|
|