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

Comparison of Different Approaches of Finding the

Positive Definite Metric in Pseudo-Hermitian

Theories

Ananya Ghatak;Bhabani Prasad Mandal

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2013(059)005

【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. 【总页数】7页(533-539) 【关键词】

【作者】Ananya Ghatak;Bhabani Prasad Mandal

【作者单位】Department of Physics, Banaras Hindu University, Varanasi-221005, India;Department of Physics, Banaras Hindu University, Varanasi-221005, India 【正文语种】英文