| 双元计算法求体积本征值 |
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| 引用本文： | 吉紫娟,包佳祺,靳海芹,肖明. 双元计算法求体积本征值[J]. 湖北大学学报(自然科学版), 2012, 34(1): 41-44 |
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| 作者姓名： | 吉紫娟 包佳祺 靳海芹 肖明 |
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| 作者单位： | 1. 湖北第二师范学院理论物理研究所,湖北武汉,430205
2. 华中科技大学文华学院光信息科学与技术系,湖北武汉,430074 |
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| 基金项目： | 2007年湖北省杰出青年基金(2007ABB031)资助 |
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| 摘 要： | 利用将几何算符中的抓,直接抓在自旋网的圈线上的方法,得到了体积算符的期望值.在演算过程中,除利用了抓作用使圈线反对称化外,只采用Penrose双元恒等式.利用这种方法,以求解3,4,5顶角的体积为例,得出任意高价顶角的体积本征值都可由此方法求得.
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| 关 键 词： | 体积算符 体积谱 顶角抓法数 |
Eigenvalues of volume obtained by binor calculation |
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| JI Zijuan , BAO Jiaqi , JIN Haiqin , XIAO Ming. Eigenvalues of volume obtained by binor calculation[J]. Journal of Hubei University(Natural Science Edition), 2012, 34(1): 41-44 |
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| Authors: | JI Zijuan BAO Jiaqi JIN Haiqin XIAO Ming |
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| Affiliation: | 1(1.Institute of Theoretical Physics,Hubei University of Education,Wuhan 430205,China; 2.Department of Optical Information Science & Technology,Huazhong University of Science and Technology Wenhua College,Wuhan 430074,China) |
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| Abstract: | By the grasp of the geometrical operator,acting on the line of the spin-network,the expected eigenvalues of the volume operator were obtained.The line was antisymmetrizing by the action of grasp and binor identity in the calculation.Using this method as examples to calculate the eigenvalues of the volume operator for 3-、4-、5-valent,the eigenvalues of the volume operator for any-valent vertices are also obtained. |
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| Keywords: | volume operator volume spectrum the grasping method of vertex |
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