Quantum physics of an elementary system in de Sitter space

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• 作者：A. Rabeie (1) rabeie@razi.ac.ir
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2012
• 出版时间：September 2012
• 年：2012
• 卷：72
• 期：9
• 全文大小：353.2 KB
• 参考文献：1. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972)
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• 作者单位：1. Department of Physics, Razi University, Kermanshah, Iran
• ISSN：1434-6052

文摘

We present the coherent states of a scalar massive particle on 1+3-de Sitter space. These states are vectors in Hilbert space, and they are labeled by points in the associated phase space. To do this, we use the fact that the phase space of a scalar massive particle on 1+3-de Sitter space is a cotangent bundle “T ∗(S 3)” which is isomorphic with the complex sphere “S<sub>\mathbbCsub>3S_{\mathbb{C}}^{3}”. Then by using the heat kernel on “S<sub>\mathbbCsub>3S_{\mathbb{C}}^{3}” that was presented by Hall–Mitchell, we construct our coherent states. At the end, by these states we quantize the classical kinetic energy on de Sitter space.