Please use this identifier to cite or link to this item: https://doi.org/10.1098/rsta.2012.0045
Title: 2 × 2PT - Symmetric matrices and their applications
Authors: Wang, Q.-H. 
Keywords: Berry phase
Non-hermitian matrices
PT symmetry
Issue Date: 28-Apr-2013
Source: Wang, Q.-H. (2013-04-28). 2 × 2PT - Symmetric matrices and their applications. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371 (1989) : -. ScholarBank@NUS Repository. https://doi.org/10.1098/rsta.2012.0045
Abstract: Two formulations for constructing a non-Hermitian matrix with all real eigenvalues are studied. They are called PT symmetry and pseudo-Hermiticity in the literature. Explicit 2 × 2 matrices of both forms are provided. They are characterized by six real parameters and are hence more general than Hermitian matrices. The equivalence of the two formulations is established. A 2 × 2 matrix with all real eigenvalues is PT -symmetric and pseudo- Hermitian at the same time. The application in timedependent problems is discussed and a new geometry phase is obtained. © 2013 The Author(s) Published by the Royal Society. All rights reserved.
Source Title: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/95594
ISSN: 1364503X
DOI: 10.1098/rsta.2012.0045
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