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arXiv 0806.1913gr-qc
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对称中心附近的量子Stephani宇宙

Quantum Stephani Universe in vicinity of the symmetry center

Pouria Pedram

摘要:

研究了一类具有自相互作用标量场的球对称Stephani宇宙模型的经典和量子问题。本文讨论了Stephani宇宙中一类Wheeler-DeWitt方程解所产生的“正则”波包的构造。我们建议适当的初始条件,导致波包包含一些理想的属性,最重要的是良好的经典和量子对应。我们还研究了从量子力学的de-Broglie Bohm解释恢复时间概念的情况,并比较了经典和Bohmian结果。我们表明,正则处方的使用和适当的选择的展开系数的结果在抑制的量子势和经典和Bohmian结果之间的重合。在某些情况下,与Friedmann-Robertson-Walker情形相反,当宇宙学常数为正值时,束缚态解也存在.

英文摘要:

We study a class of spherically symmetric Stephani cosmological models in the presence of a self-interacting scalar field in both classical and quantum domains. We discuss the construction of `canonical' wave packets resulting from the solutions of a class of Wheeler-DeWitt equations in the Stephani Universe. We suggest appropriate initial conditions which result in wave packets containing some desirable properties, most importantly good classical and quantum correspondence. We also study the situation from de-Broglie Bohm interpretation of quantum mechanics to recover the notion of time and compare the classical and Bohmian results. We exhibit that the usage of the canonical prescription and appropriate choices of expansion coefficients result in the suppression of the quantum potential and coincidence between classical and Bohmian results. We show that, in some cases, contrary to Friedmann-Robertson-Walker case, the bound state solutions also exist for all positive values of the cosmological constant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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