对称场的基本自伴性

journal6 ›› 2002, Vol. 23 ›› Issue (2): 75-77.

对称场的基本自伴性

(贵州大学物理系，贵州贵阳 550025)

出版日期:2002-06-15 发布日期:2013-01-05
作者简介:张德兴(1946-)，男，上海市人，贵州大学物理系副教授，主要从事场论与粒子物理研究.
基金资助:
贵州省自然科学基金资助项目(003066)

Essential Self-Adjointness of Symmetric Fields

(Department of Physics,Guizhou University,Guiyang 550025,Guizhou China)

Online:2002-06-15 Published:2013-01-05

摘要/Abstract

摘要：论述对称场的基本自伴性和频谱投射的局域对易性.从自由场的Borchers类构成对于任一算子的局域von Neumann环，论述了Borchers-Zimmermann限定与对称场的基本自伴性的关系，并讨论了关于解析矢量的2个定理及推论.

关键词： 对称场, 基本自伴性, 频谱投射局域对易性, Borchers-Zimmermann限定

Abstract: The essential self-adjontness of symmetric fields and the local commutativity of spectral projections is discussed.Local von Neumann rings for any operator from the Borchers class of the free fields is constructed.The relation between the Borchers-Zimmermann bound and the essential self-adjointness of a symmetric field.

Key words: symmetric field, essential self-adjointness, local commutativity of spectral projection, Borchers-Zimmermann bound

张德兴. 对称场的基本自伴性[J]. journal6, 2002, 23(2): 75-77.

ZHANG De-Xing. Essential Self-Adjointness of Symmetric Fields[J]. journal6, 2002, 23(2): 75-77.