各向同性圈量子宇宙学的哈密顿约束的量子化:一个可供选择的方法(英文)  

Quantization of The Hamiltonian in Isotropic Loop Quantum Cosmology:an Alternative Approach

作　　者：阳劲松[1] Ding You 马永革[1] 

机构地区：[1]北京师范大学物理学院,北京100875 [2]Centre de Physique Theorique de Luminy, Universite de la Mediterranee, F-13288 Marseille, EU

出　　处：《新疆师范大学学报（自然科学版）》2011年第3期51-60,共10页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：supported by NSFC(No.10975017);the Fundamental Research Funds for the Central Universities

摘　　要：圈量子宇宙学中哈密顿约束的量子化有一定的任意性,因此需要检验圈量子宇宙学的一些重要性质,如量子反弹、有效描述等,是否与这种量子化任意性有关。文章考虑了引力联络的场强的量子化中产生的一种典型的任意性,构造了一个可供选择的哈密顿约束算符,并通过半经典分析证明了该算符有正确的经典极限,进而得到了含高阶量子修正的有效哈密顿约束。在这个与无质量标量场耦合的空间平坦的Friedmann宇宙学模型的有效理论中,经典大爆炸奇点被量子反弹所取代,并且量子引力效应极有可能使膨胀的宇宙塌缩回来。可见圈量子宇宙学的上述重要性质与这种量子化任意性无关。Loop quantum cosmology in the Hamiltonian constraint quantization has certain arbitrariness, therefore need to test some important properties of loop quantum cosmology, Such as quantum rebound, effective description, and whether this quantization arbitrary related. In this paper we consider the gravity contact intensity quantization of a typical arbitrariness, constructed a choice of Hamiltonian constraint operator, and through the semiclassical analysis proves that this operator has the correct classical limit, then obtained the high order quantum modified effective Hamiltonian constraint. In the mass less scalar field coupled spatial flat Friedmann cosmology model is effective in the classical theory, the big bang singularity was replaced by quantum rebound, and quantum gravity effects are likely to make the expansion of the universe is collapsing. The important properties of visible ring quantum cosmology was independent the quantized random.

关 键 词：圈量子宇宙学 哈密屯约束 量子化 方法 

分 类 号：O157.2[理学—数学]