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中国物理学会期刊

圈量子引力中面积与体积算符本征作用的估值

CSTR: 32037.14.aps.58.2198

Evaluation of eigenactions of area and volume operators in loop quantum gravity

CSTR: 32037.14.aps.58.2198
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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.

     

    Using a method and its results which deals with the geometrical operators consistently,a complete area spectrum is obtained. At the same time,a different interpretation and result is given for the action of the Euclidean term of Thiemanns Hamiltonian constraint. In the graphical scheme of the grasping action,using the simplification of any triple of grasping actions of the volume operator,the associated recoupling matrices are demonstrated. Employing the movements of grasps,a complete and exact general expression of recoupling matrix for any triple of grasp actings on any valent vertex is detailed.

     

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