量子观测量广义正交代数

高等数学研究所学术报告

报告题目：量子观测量广义正交代数

报告人：武俊德教授(浙江大学数学科学学院)

时间：2019年3月29日 （星期五）下午16：00-17：00

地点：欧阳楼316

摘要： In this talk, we introduce a binary relation between self-adjoint operators on some Hilbert space and show that if two elements have the relationship, then they affiliated with some abelian von Neumann algebra. The relationship induces a partial algebraic operation on all self-adjoint operators on some Hilbert space. We prove that all self-adjoint operators on some Hilbert space is a generalized orthoalgebra. This algebra is a generalization of the famous Birkhoff--von Neumann quantum logic model. Our results establishes a mathematical structure on all physical quantities on some Hilbert space. Some other interesting properties are proved, too.

联系人：王成波老师（wangcbo@zju.edu.cn)