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

作     者：Ananya Ghatak Bhabani Prasad Mandal 

作者机构：Department of PhysicsBanaras Hindu University 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2013年第59卷第5期

页      面：533-539页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

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

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.