The quantum state of the universe from deformation quantization and classical-quantum correlation

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• 作者：M. Rashki ; S. Jalalzadeh
• 关键词：Quantum cosmology ; Moyal–Wheeler ; DeWitt equation ; Deformation quantization
• 刊名：General Relativity and Gravitation
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：49
• 期：2
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9532
• 卷排序：49

文摘

In this paper we study the quantum cosmology of homogeneous and isotropic cosmology, via the Weyl–Wigner–Groenewold–Moyal formalism of phase space quantization, with perfect fluid as a matter source. The corresponding quantum cosmology is described by the Moyal–Wheeler-DeWitt equation which has exact solutions in Moyal phase space, resulting in Wigner quasiprobability distribution functions peaking around the classical paths for large values of scale factor. We show that the Wigner functions of these models are peaked around the non-singular universes with quantum modified density parameter of radiation.