共查询到13条相似文献,搜索用时 62 毫秒
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用统一处理几何算符作用的方法及所得的结果,获得了一种完备的面积谱.并对Thiemann的Hamilton约束中的欧氏项的作用给出了不同解释与结果.在图式法处理抓作用中,通过化简,给出了抓任意三重组对任何n顶角作用的重耦矩阵表式.用抓作用的移动法,推算出了抓的任意三重组对任意价顶角作用的重耦矩阵的完整、精确的一般表式.
关键词:
体、面积算符作用的统一表述
完备面积谱
抓作用的化简
重耦矩阵一般表式 相似文献
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The particularization of diffeomorphism constraint action from extended loop representation to loop representation, the homogeneity calculation of transverse fields under the differential constraint, and the expressions of the transverse fields ranked one up to four are given. 相似文献
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Leonardo Modesto 《International Journal of Theoretical Physics》2006,45(12):2235-2246
We extend the ideas introduced in the previous work to a more general space-time. In particular we consider the Kantowski-Sachs space time with space section with topology . In this way we want to study a general space time that we think to be the space time inside the horizon of a black hole. In this case the phase space is four dimensional and we simply apply the quantization procedure suggested by loop quantum gravity and based on an alternative to the Schroedinger representation introduced by H. Halvorson. Through this quantization procedure we show that the inverse of the volume density and the Schwarzschild curvature invariant are upper bounded and so the space time is singularity free. Also in this case we can extend dynamically the space time beyond the classical singularity.
PACS number: 04.60.Pp, 04.70.Dy 相似文献
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The covariant entropy bound conjecture is an important hint for the quantum gravity, with several versions available in the literature. For cosmology, Ashtekar and Wilson-Ewing ever show the consistence between the loop gravity theory and one version of this conjecture. Recently, He and Zhang [J. High Energy Phys. 10 (2007) 077] proposed a version for the dynamical horizon of the universe, which validates the entropy bound conjecture for the cosmology filled with perfect fluid in the classical scenario when the universe is far away from the big bang singularity. However, their conjecture breaks down near big bang region. We examine this conjecture in the context of the loop quantum cosmology. With the example of photon gas, this conjecture is protected by the quantum geometry effects as expected. 相似文献
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The covariant entropy bound conjecture is an important hint for the quantum gravity, with several versions available in the literature. For cosmology, Ashtekar and Wilson-Ewing ever show the consistence between the loop gravity theory and one version of this conjecture. Recently, He and Zhang [J. High Energy Phys. 10 (2007) 077] proposed a version for the dynamical horizon of the universe, which validates the entropy bound conjecture for the cosmology filled with perfect fluid in the classical scenario when the universe is far away from the big bang singularity. However, their conjecture breaks down near big bang region. We examine this conjecture in the context of the loop quantum cosmology. With the example of photon gas, this conjecture is protected by the quantum geometry effects as expected. 相似文献
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To consummate the quantum pendulum theory whose
Hamiltonian takes bosonic operator formalism and manifestly exhibits its dynamic
behaviour in the entangled state representation, we introduce angular momentum state
representation and phase state representation. It turns out that the angular momentum
state is the partial wave expansion of the entangled state. 相似文献
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An excruciating issue that arises in mathematical, theoretical and astro-physics concerns the possibility of regularizing classical singular black hole solutions of general relativity by means of quantum theory. The problem is posed here in the context of a manifestly covariant approach to quantum gravity. Provided a non-vanishing quantum cosmological constant is present, here it is proved how a regular background space-time metric tensor can be obtained starting from a singular one. This is obtained by constructing suitable scale-transformed and conformal solutions for the metric tensor in which the conformal scale form factor is determined uniquely by the quantum Hamilton equations underlying the quantum gravitational field dynamics. 相似文献
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The quantum gravity is formulated based on the principle of local gauge invariance. The model discussedin this paper has local gravitational gauge symmetry, and gravitational field is represented by gauge field. In the leading-order approximation, it gives out classical Newton‘s theory of gravity. In the first-order approximation and for vacuum,it gives out Einstein‘s general theory of relativity. This quantum gauge theory of gravity is a renormalizable quantumtheory. 相似文献
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Based on unified theory of electromagnetic interactions and gravitational interactions, the non-relativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation obtained from this non-relativistic limit, we can see that the classical Newtonian gravitational potential appears as a part of the potential in the Schrodinger equation, which can explain the gravitational phase effects found in COW experiments.And because of this Newtonian gravitational potential, a quantum particle in the earth's gravitational field may form a gravitationally bound quantized state, which has already been detected in experiments. Three different kinds of phase effects related to gravitational interactions are studied in this paper, and these phase effects should be observable in some astrophysical processes. Besides, there exists direct coupling between gravitomagnetic field and quantum spin, and radiation caused by this coupling can be used to directly determine the gravitomagnetic field on the surface of a star. 相似文献
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The quantum gravity is formulated based on the principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry, and gravitational field
is represented by gauge field. In the leading-order approximation,
it gives out classical Newton's theory of gravity. In the first-order
approximation and for vacuum, it gives out Einstein's general theory of relativity. This quantum gauge
theory of gravity is a renormalizable quantum theory. 相似文献