王红. 用几何方法表示产生算符与消没算符[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1993, (4).DOI:
用几何方法表示产生算符与消没算符
摘要
本文利用外积给出了费米子系统基矢的一种表示
并且利用外微分算子和上微分算子表示了费米子系统的产生算符与消没算符
讨论了费米子系统的各种性质.这些研究为进一步探讨外微分算子和上微分算子在粒子场中的作用奠定了基础.
Abstract
In this paper
we give a representation of the basis vector of a Fermi system by exterior product and express the exterior differential and conjugate exterior differential operator as the creation and annihilation operator of the Fermi system.and discuss some propertions of such system. These establish a fundamention for further studying the role of the exterior differential and conjugate exterior differential operator on the particle field.