A quantized closed Friedmann model
A quantized closed Friedmann model
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DOI：
10.1088/0264-9381/18/4/312
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发表时间：
2001-02
影响因子：
3.5
通讯作者：
F. Hinterleitner
中科院分区：
文献类型：
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作者：
F. Hinterleitner
充满尘埃的弗里德曼宇宙只有一个动力学自由度和一个约束（哈密顿约束），它扮演着时间演化的生成器的角色。在相应的量子模型中，后者产生一维量子力学波动方程。这个方程是制定在Ashteka型变量在两个不同的因子排序的约束算子，这需要不同的希尔伯特空间。对于每一种选择，宇宙的总质量和最大半径的谱都是离散的，对于大量子数，两个版本都有可接受的经典极限。
Dust-filled Friedmann universes have only one dynamical degree of freedom and one constraint (the Hamiltonian constraint), which plays the role of the generator of time evolution. In a corresponding quantum model the latter gives rise to a one-dimensional quantum mechanical wave equation. This equation is formulated in Ashtekar-type variables in two different factor orderings of the constraint operator, which turn out to require different Hilbert spaces. For each choice the spectra of the total mass and the maximal radius of the universe are discrete and for large quantum numbers both versions have acceptable classical limits.