|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Quantum Diagonalization Method in the Tavis-Cummings Model | | Kazuyuki Fujii
; Kyoko Higashida
; Ryosuke Kato
; Tatsuo Suzuki
; Yukako Wada
; | | Date: |
1 Oct 2004 | | Journal: | Int.J.Geom.Meth.Mod.Phys. 2 (2005) 425-440 | | Subject: | Quantum Physics; Mathematical Physics | quant-ph hep-th math-ph math.MP | | Abstract: | To obtain the explicit form of evolution operator in the Tavis-Cummings model we must calculate the term ${e}^{-itg(S_{+}otimes a+S_{-}otimes a^{dagger})}$ explicitly which is very hard. In this paper we try to make the quantum matrix $Aequiv S_{+}otimes a+S_{-}otimes a^{dagger}$ diagonal to calculate ${e}^{-itgA}$ and, moreover, to know a deep structure of the model. For the case of one, two and three atoms we give such a diagonalization which is first nontrivial examples as far as we know, and reproduce the calculations of ${e}^{-itgA}$ given in quant-ph/0404034. We also give a hint to an application to a noncommutative differential geometry. However, a quantum diagonalization is not unique and is affected by some ambiguity arising from the noncommutativity of operators in quantum physics. Our method may open a new point of view in Mathematical Physics or Quantum Physics. | | Source: | arXiv, quant-ph/0410003 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER