Comparison of Different Approaches of Finding the Positive Definite Metric in Pseudo-Hermitian Theories  

作　　者：Ananya Ghatak Bhabani Prasad Mandal 

机构地区：[1]Department of Physics,Banaras Hindu University

出　　处：《Communications in Theoretical Physics》2013年第5期533-539,共7页理论物理通讯（英文版）

摘　　要：To develop a unitary quantum theory with probabilistic description for pseudo-Hermitian systems one needs to consider the theories in a different Hilbert space endowed with a positive definite metric operator. There are different approaches to find such metric operators. We compare the different approaches of calculating positive definite metric operators in pseudo-Hermitian theories with the help of several explicit examples in non-relativistic as well as in relativistic situations. Exceptional points and spontaneous symmetry breaking are also discussed in these models.

关 键 词：pseudo-Hermitian quantum theory positive definite metric operator relativistic non-Hermitian system P T symmetry quantum mechanics modified Hilbert space 

分 类 号：O413[理学—理论物理]