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.
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.
出处
《湖北大学学报（自然科学版）》
CAS
2012年第1期41-44,共4页
Journal of Hubei University：Natural Science
基金
2007年湖北省杰出青年基金(2007ABB031)资助
关键词
体积算符
体积谱
顶角抓法数
volume operator
volume spectrum
the grasping method of vertex
